42+6m=15m-30

Solution for 42+6m=15m-30 equation:

Simplifying
42 + 6m = 15m + -30

Reorder the terms:
42 + 6m = -30 + 15m

Solving
42 + 6m = -30 + 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.
42 + 6m + -15m = -30 + 15m + -15m

Combine like terms: 6m + -15m = -9m
42 + -9m = -30 + 15m + -15m

Combine like terms: 15m + -15m = 0
42 + -9m = -30 + 0
42 + -9m = -30

Add '-42' to each side of the equation.
42 + -42 + -9m = -30 + -42

Combine like terms: 42 + -42 = 0
0 + -9m = -30 + -42
-9m = -30 + -42

Combine like terms: -30 + -42 = -72
-9m = -72

Divide each side by '-9'.
m = 8

Simplifying
m = 8