# How do you solve 3(3m-2) = 2(3m+3)?

Nov 4, 2016

$m = 4$

#### Explanation:

Step 1) Expand the terms in parenthesis
Step 2) Solve for $m$ while keeping the equation balanced

$9 m - 6 = 6 m + 6$

$9 m - 6 + 6 = 6 m + 6 + 6$

$9 m - 0 = 6 m + 12$

$9 m = 6 m + 12$

$9 m - 6 m = 6 m - 6 m + 12$

$3 m = 0 + 12$

$3 m = 12$

$\frac{3 m}{3} = \frac{12}{3}$

$1 m = 4$

$m = 4$