3(2m+2)-2(m-4)=6

Solution for 3(2m+2)-2(m-4)=6 equation:

Simplifying
3(2m + 2) + -2(m + -4) = 6

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

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

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

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

Combine like terms: 6m + -2m = 4m
14 + 4m = 6

Solving
14 + 4m = 6

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 + 4m = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 4m = 6 + -14
4m = 6 + -14

Combine like terms: 6 + -14 = -8
4m = -8

Divide each side by '4'.
m = -2

Simplifying
m = -2