6-7m=-8(4m+6)-2m

Solution for 6-7m=-8(4m+6)-2m equation:

Simplifying
6 + -7m = -8(4m + 6) + -2m

Reorder the terms:
6 + -7m = -8(6 + 4m) + -2m
6 + -7m = (6 * -8 + 4m * -8) + -2m
6 + -7m = (-48 + -32m) + -2m

Combine like terms: -32m + -2m = -34m
6 + -7m = -48 + -34m

Solving
6 + -7m = -48 + -34m

Solving for variable 'm'.

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

Add '34m' to each side of the equation.
6 + -7m + 34m = -48 + -34m + 34m

Combine like terms: -7m + 34m = 27m
6 + 27m = -48 + -34m + 34m

Combine like terms: -34m + 34m = 0
6 + 27m = -48 + 0
6 + 27m = -48

Add '-6' to each side of the equation.
6 + -6 + 27m = -48 + -6

Combine like terms: 6 + -6 = 0
0 + 27m = -48 + -6
27m = -48 + -6

Combine like terms: -48 + -6 = -54
27m = -54

Divide each side by '27'.
m = -2

Simplifying
m = -2