6(1+5m)-6m=-6(7-6m)

Solution for 6(1+5m)-6m=-6(7-6m) equation:

Simplifying
6(1 + 5m) + -6m = -6(7 + -6m)
(1 * 6 + 5m * 6) + -6m = -6(7 + -6m)
(6 + 30m) + -6m = -6(7 + -6m)

Combine like terms: 30m + -6m = 24m
6 + 24m = -6(7 + -6m)
6 + 24m = (7 * -6 + -6m * -6)
6 + 24m = (-42 + 36m)

Solving
6 + 24m = -42 + 36m

Solving for variable 'm'.

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

Add '-36m' to each side of the equation.
6 + 24m + -36m = -42 + 36m + -36m

Combine like terms: 24m + -36m = -12m
6 + -12m = -42 + 36m + -36m

Combine like terms: 36m + -36m = 0
6 + -12m = -42 + 0
6 + -12m = -42

Add '-6' to each side of the equation.
6 + -6 + -12m = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -12m = -42 + -6
-12m = -42 + -6

Combine like terms: -42 + -6 = -48
-12m = -48

Divide each side by '-12'.
m = 4

Simplifying
m = 4