18(m+6)=15m-6

Solution for 18(m+6)=15m-6 equation:

Simplifying
18(m + 6) = 15m + -6

Reorder the terms:
18(6 + m) = 15m + -6
(6 * 18 + m * 18) = 15m + -6
(108 + 18m) = 15m + -6

Reorder the terms:
108 + 18m = -6 + 15m

Solving
108 + 18m = -6 + 15m

Solving for variable 'm'.

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

Add '-15m' to each side of the equation.
108 + 18m + -15m = -6 + 15m + -15m

Combine like terms: 18m + -15m = 3m
108 + 3m = -6 + 15m + -15m

Combine like terms: 15m + -15m = 0
108 + 3m = -6 + 0
108 + 3m = -6

Add '-108' to each side of the equation.
108 + -108 + 3m = -6 + -108

Combine like terms: 108 + -108 = 0
0 + 3m = -6 + -108
3m = -6 + -108

Combine like terms: -6 + -108 = -114
3m = -114

Divide each side by '3'.
m = -38

Simplifying
m = -38