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

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

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

Reorder the terms:
-1 + -7m = -7(6 + 7m) + m
-1 + -7m = (6 * -7 + 7m * -7) + m
-1 + -7m = (-42 + -49m) + m

Combine like terms: -49m + m = -48m
-1 + -7m = -42 + -48m

Solving
-1 + -7m = -42 + -48m

Solving for variable 'm'.

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

Add '48m' to each side of the equation.
-1 + -7m + 48m = -42 + -48m + 48m

Combine like terms: -7m + 48m = 41m
-1 + 41m = -42 + -48m + 48m

Combine like terms: -48m + 48m = 0
-1 + 41m = -42 + 0
-1 + 41m = -42

Add '1' to each side of the equation.
-1 + 1 + 41m = -42 + 1

Combine like terms: -1 + 1 = 0
0 + 41m = -42 + 1
41m = -42 + 1

Combine like terms: -42 + 1 = -41
41m = -41

Divide each side by '41'.
m = -1

Simplifying
m = -1