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

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

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

Reorder the terms:
6 + 6m = -8(5 + -2m) + -4
6 + 6m = (5 * -8 + -2m * -8) + -4
6 + 6m = (-40 + 16m) + -4

Reorder the terms:
6 + 6m = -40 + -4 + 16m

Combine like terms: -40 + -4 = -44
6 + 6m = -44 + 16m

Solving
6 + 6m = -44 + 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 + 6m + -16m = -44 + 16m + -16m

Combine like terms: 6m + -16m = -10m
6 + -10m = -44 + 16m + -16m

Combine like terms: 16m + -16m = 0
6 + -10m = -44 + 0
6 + -10m = -44

Add '-6' to each side of the equation.
6 + -6 + -10m = -44 + -6

Combine like terms: 6 + -6 = 0
0 + -10m = -44 + -6
-10m = -44 + -6

Combine like terms: -44 + -6 = -50
-10m = -50

Divide each side by '-10'.
m = 5

Simplifying
m = 5