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

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

Simplifying
6(1 + 5m) + 4(-4 + -8) = -2m + 3m
(1 * 6 + 5m * 6) + 4(-4 + -8) = -2m + 3m
(6 + 30m) + 4(-4 + -8) = -2m + 3m

Combine like terms: -4 + -8 = -12
6 + 30m + 4(-12) = -2m + 3m

Multiply 4 * -12
6 + 30m + -48 = -2m + 3m

Reorder the terms:
6 + -48 + 30m = -2m + 3m

Combine like terms: 6 + -48 = -42
-42 + 30m = -2m + 3m

Combine like terms: -2m + 3m = 1m
-42 + 30m = 1m

Solving
-42 + 30m = 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-42 + 30m + -1m = 1m + -1m

Combine like terms: 30m + -1m = 29m
-42 + 29m = 1m + -1m

Combine like terms: 1m + -1m = 0
-42 + 29m = 0

Add '42' to each side of the equation.
-42 + 42 + 29m = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 29m = 0 + 42
29m = 0 + 42

Combine like terms: 0 + 42 = 42
29m = 42

Divide each side by '29'.
m = 1.448275862

Simplifying
m = 1.448275862