3m+6=-m+6(6m+1)

Solution for 3m+6=-m+6(6m+1) equation:

Simplifying
3m + 6 = -1m + 6(6m + 1)

Reorder the terms:
6 + 3m = -1m + 6(6m + 1)

Reorder the terms:
6 + 3m = -1m + 6(1 + 6m)
6 + 3m = -1m + (1 * 6 + 6m * 6)
6 + 3m = -1m + (6 + 36m)

Reorder the terms:
6 + 3m = 6 + -1m + 36m

Combine like terms: -1m + 36m = 35m
6 + 3m = 6 + 35m

Add '-6' to each side of the equation.
6 + -6 + 3m = 6 + -6 + 35m

Combine like terms: 6 + -6 = 0
0 + 3m = 6 + -6 + 35m
3m = 6 + -6 + 35m

Combine like terms: 6 + -6 = 0
3m = 0 + 35m
3m = 35m

Solving
3m = 35m

Solving for variable 'm'.

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

Add '-35m' to each side of the equation.
3m + -35m = 35m + -35m

Combine like terms: 3m + -35m = -32m
-32m = 35m + -35m

Combine like terms: 35m + -35m = 0
-32m = 0

Divide each side by '-32'.
m = 0

Simplifying
m = 0