Question

-3(2,1m - 1) + 4,8 = -6,7m+9,4

Answer 1

-6.3m+3+4.8=-6.7m+9.4
-6.3+7.8=-6.7m+9.4
-6.3m+6.7m=9.4-7.8
0.4m=1.6
m=4

Answer 2

Let's solve the given equation step-by-step:

-3(2m - 1) + 4.8 = -6.7m + 9.4

1. Distribute the -3 to both terms inside the parentheses: -3 * 2m + (-3) * (-1) + 4.8 = -6.7m + 9.4

2. Simplify the terms inside the parentheses: -6m + 3 + 4.8 = -6.7m + 9.4

3. Combine like terms on both sides of the equation: -6m + 7.8 = -6.7m + 9.4

4. Move the terms with "m" to one side of the equation. Let's move the -6.7m term to the left side by adding 6.7m to both sides of the equation: -6m + 7.8 + 6.7m = 9.4

5. Combine "m" terms: (6.7m - 6m) + 7.8 = 9.4

6. Simplify "m" terms: 0.7m + 7.8 = 9.4

7. Move constant term to the right side by subtracting 7.8 from both sides: 0.7m = 1.6

8. Finally, solve for "m" by dividing both sides by 0.7: m = 1.6 / 0.7

Now, let's calculate the value of "m":

m ≈ 2.2857 (rounded to 4 decimal places)

So, the solution to the equation is approximately m = 2.2857.