Question

-3(2x+3y)+7(-2x+4y)= -(7a+b)-8a-3b)= -2(3x-1)+3(5-7x)=-4(a-1)-5(2+a)=7(x-4)-3(5+3x)=

Answer 1

-3(2x+3y)+7(-2x+4y)= -6x - 9y - 14x + 28y = -20x + 19y

-(7a+b)-(8a-3b)= -7a - b - 8a + 3b = -15a + 2b

-2(3x-1)+3(5-7x)=  -6x + 2 + 15 - 21x = -27x + 17

-4(a-1)-5(2+a)=  -4a + 4 - 10 - 5a = -9a - 6

7(x-4)-3(5+3x)= 7x - 28 - 15 - 9x = -2x - 43

Answer 2

1. -6х-9у-14х+28у= 19у-20х
2. -6х+2+15-21х=17-27х
3. -4а+4-10-5а=-9а-6
4. 7х-28-15-9х=-2х-43
5. -7а-b+8a+3b=a+4b

Answer 3

Let's solve each of the given equations step-by-step:

1. -3(2x+3y) + 7(-2x+4y)

To simplify, distribute the constants:

-3 * 2x - 3 * 3y + 7 * -2x + 7 * 4y

Now, combine like terms:

-6x - 9y - 14x + 28y

Group x and y terms together:

(-6x - 14x) + (-9y + 28y)

Combine further:

-20x + 19y

So, -3(2x+3y) + 7(-2x+4y) simplifies to -20x + 19y.

2. -(7a+b)-8a-3b

Start by distributing the negative sign:

-7a - b - 8a - 3b

Combine like terms:

(-7a - 8a) + (-b - 3b)

Further simplify:

-15a - 4b

So, -(7a+b)-8a-3b simplifies to -15a - 4b.

3. -2(3x-1) + 3(5-7x)

Distribute the constants:

-2 * 3x - 2 * (-1) + 3 * 5 - 3 * 7x

Now, combine like terms:

-6x + 2 + 15 - 21x

Group x terms together:

(-6x - 21x) + (2 + 15)

Combine further:

-27x + 17

So, -2(3x-1) + 3(5-7x) simplifies to -27x + 17.

4. -4(a-1) - 5(2+a)

Distribute the constants:

-4 * a - 4 * (-1) - 5 * 2 - 5 * a

Combine like terms:

-4a + 4 - 10 - 5a

Group a terms together:

(-4a - 5a) + (4 - 10)

Combine further:

-9a - 6

So, -4(a-1) - 5(2+a) simplifies to -9a - 6.

5. 7(x-4) - 3(5+3x)

Distribute the constants:

7 * x - 7 * 4 - 3 * 5 - 3 * 3x

Combine like terms:

7x - 28 - 15 - 9x

Group x terms together:

(7x - 9x) + (-28 - 15)

Combine further:

-2x - 43

So, 7(x-4) - 3(5+3x) simplifies to -2x - 43.

I've simplified each of the given equations as requested.