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

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

Simplifying
-3(m + -2) + 4(5m + 5) = -8

Reorder the terms:
-3(-2 + m) + 4(5m + 5) = -8
(-2 * -3 + m * -3) + 4(5m + 5) = -8
(6 + -3m) + 4(5m + 5) = -8

Reorder the terms:
6 + -3m + 4(5 + 5m) = -8
6 + -3m + (5 * 4 + 5m * 4) = -8
6 + -3m + (20 + 20m) = -8

Reorder the terms:
6 + 20 + -3m + 20m = -8

Combine like terms: 6 + 20 = 26
26 + -3m + 20m = -8

Combine like terms: -3m + 20m = 17m
26 + 17m = -8

Solving
26 + 17m = -8

Solving for variable 'm'.

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

Add '-26' to each side of the equation.
26 + -26 + 17m = -8 + -26

Combine like terms: 26 + -26 = 0
0 + 17m = -8 + -26
17m = -8 + -26

Combine like terms: -8 + -26 = -34
17m = -34

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

Simplifying
m = -2