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

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

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

Reorder the terms:
6 + 18m = -8(4 + -2m) + m
6 + 18m = (4 * -8 + -2m * -8) + m
6 + 18m = (-32 + 16m) + m

Combine like terms: 16m + m = 17m
6 + 18m = -32 + 17m

Solving
6 + 18m = -32 + 17m

Solving for variable 'm'.

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

Add '-17m' to each side of the equation.
6 + 18m + -17m = -32 + 17m + -17m

Combine like terms: 18m + -17m = 1m
6 + 1m = -32 + 17m + -17m

Combine like terms: 17m + -17m = 0
6 + 1m = -32 + 0
6 + 1m = -32

Add '-6' to each side of the equation.
6 + -6 + 1m = -32 + -6

Combine like terms: 6 + -6 = 0
0 + 1m = -32 + -6
1m = -32 + -6

Combine like terms: -32 + -6 = -38
1m = -38

Divide each side by '1'.
m = -38

Simplifying
m = -38