6(1+3m)=-8(-2m+3)-4

Solution for 6(1+3m)=-8(-2m+3)-4 equation:

Simplifying
6(1 + 3m) = -8(-2m + 3) + -4
(1 * 6 + 3m * 6) = -8(-2m + 3) + -4
(6 + 18m) = -8(-2m + 3) + -4

Reorder the terms:
6 + 18m = -8(3 + -2m) + -4
6 + 18m = (3 * -8 + -2m * -8) + -4
6 + 18m = (-24 + 16m) + -4

Reorder the terms:
6 + 18m = -24 + -4 + 16m

Combine like terms: -24 + -4 = -28
6 + 18m = -28 + 16m

Solving
6 + 18m = -28 + 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
6 + 18m + -16m = -28 + 16m + -16m

Combine like terms: 18m + -16m = 2m
6 + 2m = -28 + 16m + -16m

Combine like terms: 16m + -16m = 0
6 + 2m = -28 + 0
6 + 2m = -28

Add '-6' to each side of the equation.
6 + -6 + 2m = -28 + -6

Combine like terms: 6 + -6 = 0
0 + 2m = -28 + -6
2m = -28 + -6

Combine like terms: -28 + -6 = -34
2m = -34

Divide each side by '2'.
m = -17

Simplifying
m = -17