6(1+7m)=-2m+6

Solution for 6(1+7m)=-2m+6 equation:

Simplifying
6(1 + 7m) = -2m + 6
(1 * 6 + 7m * 6) = -2m + 6
(6 + 42m) = -2m + 6

Reorder the terms:
6 + 42m = 6 + -2m

Add '-6' to each side of the equation.
6 + -6 + 42m = 6 + -6 + -2m

Combine like terms: 6 + -6 = 0
0 + 42m = 6 + -6 + -2m
42m = 6 + -6 + -2m

Combine like terms: 6 + -6 = 0
42m = 0 + -2m
42m = -2m

Solving
42m = -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.
42m + 2m = -2m + 2m

Combine like terms: 42m + 2m = 44m
44m = -2m + 2m

Combine like terms: -2m + 2m = 0
44m = 0

Divide each side by '44'.
m = 0

Simplifying
m = 0