42=-3(m+6)+m

Solution for 42=-3(m+6)+m equation:

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

Reorder the terms:
42 = -3(6 + m) + m
42 = (6 * -3 + m * -3) + m
42 = (-18 + -3m) + m

Combine like terms: -3m + m = -2m
42 = -18 + -2m

Solving
42 = -18 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
42 + 2m = -18 + -2m + 2m

Combine like terms: -2m + 2m = 0
42 + 2m = -18 + 0
42 + 2m = -18

Add '-42' to each side of the equation.
42 + -42 + 2m = -18 + -42

Combine like terms: 42 + -42 = 0
0 + 2m = -18 + -42
2m = -18 + -42

Combine like terms: -18 + -42 = -60
2m = -60

Divide each side by '2'.
m = -30

Simplifying
m = -30