What value of m makes the equation 2(3m + 2) = 2(m - 4) + 24 true?

Question

3
4
5
9

Answer 1

Let's solve the equation step by step:

2(3m + 2) = 2(m - 4) + 24

First, we need to distribute the 2 to both terms inside the parentheses:

6m + 4 = 2m - 8 + 24

Next, we can combine like terms on both sides of the equation:

6m + 4 = 2m + 16

Now, we can subtract 2m from both sides to isolate the variable:

4m + 4 = 16

Next, we can subtract 4 from both sides of the equation:

4m = 12

Finally, we can divide both sides of the equation by 4 to solve for m:

m = 3

Therefore, the value of m that makes the equation true is 3.