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

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

Simplifying
-3(1 + -6m) + 6 = 3(m + 1)
(1 * -3 + -6m * -3) + 6 = 3(m + 1)
(-3 + 18m) + 6 = 3(m + 1)

Reorder the terms:
-3 + 6 + 18m = 3(m + 1)

Combine like terms: -3 + 6 = 3
3 + 18m = 3(m + 1)

Reorder the terms:
3 + 18m = 3(1 + m)
3 + 18m = (1 * 3 + m * 3)
3 + 18m = (3 + 3m)

Add '-3' to each side of the equation.
3 + -3 + 18m = 3 + -3 + 3m

Combine like terms: 3 + -3 = 0
0 + 18m = 3 + -3 + 3m
18m = 3 + -3 + 3m

Combine like terms: 3 + -3 = 0
18m = 0 + 3m
18m = 3m

Solving
18m = 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
18m + -3m = 3m + -3m

Combine like terms: 18m + -3m = 15m
15m = 3m + -3m

Combine like terms: 3m + -3m = 0
15m = 0

Divide each side by '15'.
m = 0

Simplifying
m = 0