3(2-6m)=15m-3m-6

Solution for 3(2-6m)=15m-3m-6 equation:

Simplifying
3(2 + -6m) = 15m + -3m + -6
(2 * 3 + -6m * 3) = 15m + -3m + -6
(6 + -18m) = 15m + -3m + -6

Reorder the terms:
6 + -18m = -6 + 15m + -3m

Combine like terms: 15m + -3m = 12m
6 + -18m = -6 + 12m

Solving
6 + -18m = -6 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
6 + -18m + -12m = -6 + 12m + -12m

Combine like terms: -18m + -12m = -30m
6 + -30m = -6 + 12m + -12m

Combine like terms: 12m + -12m = 0
6 + -30m = -6 + 0
6 + -30m = -6

Add '-6' to each side of the equation.
6 + -6 + -30m = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -30m = -6 + -6
-30m = -6 + -6

Combine like terms: -6 + -6 = -12
-30m = -12

Divide each side by '-30'.
m = 0.4

Simplifying
m = 0.4