Question

Раскройте скобки 1) (6p-n-4m)×(-1,6)= 2) (-2,6a-b+1,4c)×(-m)= 3) -0,7n(7a-2,1+5k= 4) -24(7\12x+0,5y-5\6z-0,3)= 5) -4(-x+3y-4z)= 6) (m-5n-6k)×(-1,4)= 7) (-a-3,4b+3c)×(-d)= 8) -0,8a(4p-5b-1,2)= 9) 14(3\7x-9\14y+0,5z-0,2)= Заранее спасибо, буду ооочень благодарна♥

Answer 1

1) (6p-n-4m)×(-1,6)=-9.6p+1.6n+6.4m
2) (-2,6a-b+1,4c)×(-m)=2.6am+mb-1.4cm
3) -0,7n(7a-2,1+5k)=-4.9an+1.47n-3.5k
4) -24(7\12x+0,5y-5\6z-0,3)=-14x-0.5y+20z+7.2
5) -4(-x+3y-4z)=4x-12y+16z
6) (m-5n-6k)×(-1,4)=-1.4m+7n+8.4k
7) (-a-3,4b+3c)×(-d)=ad+3.4db-3cd
8) -0,8a(4p-5b-1,2)=-3.2ap+4ab+0.96a
9) 14(3\7x-9\14y+0,5z-0,2)=6x-9y+7z-2.8

Answer 2

Equation 1: (1 + (6p - n - 4m)) × (-1.6) = 2

To solve this equation, let's simplify the expression inside the parentheses first:

(6p - n - 4m)

Next, we can substitute the simplified expression back into the equation:

(1 + (6p - n - 4m)) × (-1.6) = 2

Let's solve it step by step:

1. Distribute the -1.6 to the terms inside the parentheses:

(-1.6) × 1 + (-1.6) × (6p - n - 4m) = 2

-1.6 + (-1.6) × (6p - n - 4m) = 2

2. Simplify the expression inside the parentheses:

-1.6 + (-9.6p + 1.6n + 6.4m) = 2

3. Combine like terms:

-9.6p + 1.6n + 6.4m - 1.6 = 2

4. Move the constant term to the other side of the equation:

-9.6p + 1.6n + 6.4m = 2 + 1.6

-9.6p + 1.6n + 6.4m = 3.6

Therefore, the solution to Equation 1 is:

-9.6p + 1.6n + 6.4m = 3.6.

Equation 2: (-2.6a - b + 1.4c) × (-m) = 3

To solve this equation, let's simplify the expression inside the parentheses first:

(-2.6a - b + 1.4c)

Next, we can substitute the simplified expression back into the equation:

(-2.6a - b + 1.4c) × (-m) = 3

Let's solve it step by step:

1. Distribute the -m to the terms inside the parentheses:

(-m) × (-2.6a) + (-m) × (-b) + (-m) × (1.4c) = 3

2. Simplify the expression inside the parentheses:

2.6am + mb - 1.4mc = 3

3. Rearrange the terms:

2.6am - 1.4mc + mb = 3

Therefore, the solution to Equation 2 is:

2.6am - 1.4mc + mb = 3.

Equation 3: -0.7n(7a - 2.1 + 5k) = 4

To solve this equation, let's simplify the expression inside the parentheses first:

(7a - 2.1 + 5k)

Next, we can substitute the simplified expression back into the equation:

-0.7n(7a - 2.1 + 5k) = 4

Let's solve it step by step:

1. Distribute the -0.7n to the terms inside the parentheses:

-0.7n × 7a - (-0.7n) × 2.1 + (-0.7n) × 5k = 4

-4.9na + 1.47n - 3.5nk = 4

Therefore, the solution to Equation 3 is:

-4.9na + 1.47n - 3.5nk = 4.

Equation 4: -24(7/12x + 0.5y - 5/6z - 0.3) = 5

To solve this equation, let's simplify the expression inside the parentheses first:

(7/12x + 0.5y - 5/6z - 0.3)

Next, we can substitute the simplified expression back into the equation:

-24(7/12x + 0.5y - 5/6z - 0.3) = 5

Let's solve it step by step:

1. Distribute the -24 to the terms inside the parentheses:

-24 × (7/12x) + (-24) × (0.5y) - (-24) × (5/6z) - (-24) × 0.3 = 5

-14x - 12y + 20z + 7.2 = 5

2. Move the constant term to the other side of the equation:

-14x - 12y + 20z = 5 - 7.2

-14x - 12y + 20z = -2.2

Therefore, the solution to Equation 4 is:

-14x - 12y + 20z = -2.2.

Equation 5: -4(-x + 3y - 4z) = 6

To solve this equation, let's simplify the expression inside the parentheses first:

(-x + 3y - 4z)

Next, we can substitute the simplified expression back into the equation:

-4(-x + 3y - 4z) = 6

Let's solve it step by step:

1. Distribute the -4 to the terms inside the parentheses:

-4 × (-x) + (-4) × 3y + (-4) × (-4z) = 6

4x - 12y + 16z = 6

Therefore, the solution to Equation 5 is:

4x - 12y + 16z = 6.

Equation 6: (m - 5n - 6k) × (-1.4) = 7

To solve this equation, let's simplify the expression inside the parentheses first:

(m - 5n - 6k)

Next, we can substitute the simplified expression back into the equation:

(m - 5n - 6k) × (-1.4) = 7

Let's solve it step by step:

1. Distribute the -1.4 to the terms inside the parentheses:

(-1.4) × m + (-1.4) × (-5n) + (-1.4) × (-6k) = 7

-1.4m + 7n + 8.4k = 7

Therefore, the solution to Equation 6 is:

-1.4m + 7n + 8.4k = 7.

Equation 7: (-a - 3.4b + 3c) × (-d) = 8

To solve this equation, let's simplify the expression inside the parentheses first:

(-a - 3.4b + 3c)

Next, we can substitute the simplified expression back into the equation:

(-a - 3.4b + 3c) × (-d) = 8

Let's solve it step by step:

1. Distribute the -d to the terms inside the parentheses:

(-d) × (-a) + (-d) × (-3.4b) + (-d) × 3c = 8

da + 3.4db - 3dc = 8

Therefore, the solution to Equation 7 is:

da + 3.4db - 3dc = 8.

Equation 8: -0.8a(4p - 5b - 1.2) = 9

To solve this equation, let's simplify the expression inside the parentheses first:

(4p - 5b - 1.2)

Next, we can substitute the simplified expression back into the equation:

-0.8a(4p - 5b - 1.2) = 9

Let's solve it step by step:

1. Distribute the -0.8a to the terms inside the parentheses:

(-0.8a) × (4p) + (-0.8a) × (-5b) + (-0.8a) × (-1.2) = 9

-3.2ap + 4ab + 0.96a = 9

2. Combine like terms:

-3.2ap + 4ab + 0.96a = 9

Therefore, the solution to Equation 8 is:

-3.2ap + 4ab + 0.96a = 9.

Equation 9: 14(3/7x - 9/14y + 0.5z - 0.2) = 10

To solve this equation, let's simplify the expression inside the parentheses first:

(3/7x - 9/14y + 0.5z - 0.2)

Next, we can substitute the simplified expression back into the equation:

14(3/7x - 9/14y + 0.5z - 0.2) = 10

Let's solve it step by step:

1. Distribute the 14 to the terms inside the parentheses:

14 × (3/7x) - 14 × (9/14y) + 14 × (0.5z) - 14 × 0.2 = 10

6x - 9y + 7z - 2.8 = 10

2. Move the constant term to the other side of the equation:

6x - 9y + 7z = 10 + 2.8

6x - 9y + 7