7(2m+6)=8m

Solution for 7(2m+6)=8m equation:

Simplifying
7(2m + 6) = 8m

Reorder the terms:
7(6 + 2m) = 8m
(6 * 7 + 2m * 7) = 8m
(42 + 14m) = 8m

Solving
42 + 14m = 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
42 + 14m + -8m = 8m + -8m

Combine like terms: 14m + -8m = 6m
42 + 6m = 8m + -8m

Combine like terms: 8m + -8m = 0
42 + 6m = 0

Add '-42' to each side of the equation.
42 + -42 + 6m = 0 + -42

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

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

Divide each side by '6'.
m = -7

Simplifying
m = -7