6(m+1)=3m-3

Solution for 6(m+1)=3m-3 equation:

Simplifying
6(m + 1) = 3m + -3

Reorder the terms:
6(1 + m) = 3m + -3
(1 * 6 + m * 6) = 3m + -3
(6 + 6m) = 3m + -3

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

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

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

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

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

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

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

Divide each side by '3'.
m = -3

Simplifying
m = -3