42=-2(m+3)+m

Solution for 42=-2(m+3)+m equation:

Simplifying
42 = -2(m + 3) + m

Reorder the terms:
42 = -2(3 + m) + m
42 = (3 * -2 + m * -2) + m
42 = (-6 + -2m) + m

Combine like terms: -2m + m = -1m
42 = -6 + -1m

Solving
42 = -6 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
42 + m = -6 + -1m + m

Combine like terms: -1m + m = 0
42 + m = -6 + 0
42 + m = -6

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

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

Combine like terms: -6 + -42 = -48
m = -48

Simplifying
m = -48