Question

7(2m - 1) - 3 = 12m + 6

Answer 1

To solve the equation \( 7(2m - 1) - 3 = 12m + 6 \), we will first simplify the left side of the equation.

1. Distribute \( 7 \) into \( (2m - 1) \):
\[
7(2m) - 7(1) = 14m - 7
\]
Now, substitute back into the equation:
\[
14m - 7 - 3 = 12m + 6
\]

2. Combine like terms on the left side:
\[
14m - 10 = 12m + 6
\]

3. Now, let's isolate \( m \). First, subtract \( 12m \) from both sides:
\[
14m - 12m - 10 = 6
\]
which simplifies to:
\[
2m - 10 = 6
\]

4. Next, add \( 10 \) to both sides:
\[
2m = 16
\]

5. Finally, divide by \( 2 \):
\[
m = 8
\]

So the solution is:
\[
\boxed{8}
\]