6m-6=-3m-42

Solution for 6m-6=-3m-42 equation:

Simplifying
6m + -6 = -3m + -42

Reorder the terms:
-6 + 6m = -3m + -42

Reorder the terms:
-6 + 6m = -42 + -3m

Solving
-6 + 6m = -42 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
-6 + 6m + 3m = -42 + -3m + 3m

Combine like terms: 6m + 3m = 9m
-6 + 9m = -42 + -3m + 3m

Combine like terms: -3m + 3m = 0
-6 + 9m = -42 + 0
-6 + 9m = -42

Add '6' to each side of the equation.
-6 + 6 + 9m = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 9m = -42 + 6
9m = -42 + 6

Combine like terms: -42 + 6 = -36
9m = -36

Divide each side by '9'.
m = -4

Simplifying
m = -4