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

Solution for 3(3m+2)-2(m-4)= equation:

Simplifying
3(3m + 2) + -2(m + -4) = 0

Reorder the terms:
3(2 + 3m) + -2(m + -4) = 0
(2 * 3 + 3m * 3) + -2(m + -4) = 0
(6 + 9m) + -2(m + -4) = 0

Reorder the terms:
6 + 9m + -2(-4 + m) = 0
6 + 9m + (-4 * -2 + m * -2) = 0
6 + 9m + (8 + -2m) = 0

Reorder the terms:
6 + 8 + 9m + -2m = 0

Combine like terms: 6 + 8 = 14
14 + 9m + -2m = 0

Combine like terms: 9m + -2m = 7m
14 + 7m = 0

Solving
14 + 7m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + 7m = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 7m = 0 + -14
7m = 0 + -14

Combine like terms: 0 + -14 = -14
7m = -14

Divide each side by '7'.
m = -2

Simplifying
m = -2