6(m+7)-3(m-2)=42

Solution for 6(m+7)-3(m-2)=42 equation:

Simplifying
6(m + 7) + -3(m + -2) = 42

Reorder the terms:
6(7 + m) + -3(m + -2) = 42
(7 * 6 + m * 6) + -3(m + -2) = 42
(42 + 6m) + -3(m + -2) = 42

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

Reorder the terms:
42 + 6 + 6m + -3m = 42

Combine like terms: 42 + 6 = 48
48 + 6m + -3m = 42

Combine like terms: 6m + -3m = 3m
48 + 3m = 42

Solving
48 + 3m = 42

Solving for variable 'm'.

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

Add '-48' to each side of the equation.
48 + -48 + 3m = 42 + -48

Combine like terms: 48 + -48 = 0
0 + 3m = 42 + -48
3m = 42 + -48

Combine like terms: 42 + -48 = -6
3m = -6

Divide each side by '3'.
m = -2

Simplifying
m = -2