6(1+3m)=-8(2-m+5)-4

Solution for 6(1+3m)=-8(2-m+5)-4 equation:

Simplifying
6(1 + 3m) = -8(2 + -1m + 5) + -4
(1 * 6 + 3m * 6) = -8(2 + -1m + 5) + -4
(6 + 18m) = -8(2 + -1m + 5) + -4

Reorder the terms:
6 + 18m = -8(2 + 5 + -1m) + -4

Combine like terms: 2 + 5 = 7
6 + 18m = -8(7 + -1m) + -4
6 + 18m = (7 * -8 + -1m * -8) + -4
6 + 18m = (-56 + 8m) + -4

Reorder the terms:
6 + 18m = -56 + -4 + 8m

Combine like terms: -56 + -4 = -60
6 + 18m = -60 + 8m

Solving
6 + 18m = -60 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
6 + 18m + -8m = -60 + 8m + -8m

Combine like terms: 18m + -8m = 10m
6 + 10m = -60 + 8m + -8m

Combine like terms: 8m + -8m = 0
6 + 10m = -60 + 0
6 + 10m = -60

Add '-6' to each side of the equation.
6 + -6 + 10m = -60 + -6

Combine like terms: 6 + -6 = 0
0 + 10m = -60 + -6
10m = -60 + -6

Combine like terms: -60 + -6 = -66
10m = -66

Divide each side by '10'.
m = -6.6

Simplifying
m = -6.6