-31=3(2m-2)-4(3m-3)

Solution for -31=3(2m-2)-4(3m-3) equation:

Simplifying
-31 = 3(2m + -2) + -4(3m + -3)

Reorder the terms:
-31 = 3(-2 + 2m) + -4(3m + -3)
-31 = (-2 * 3 + 2m * 3) + -4(3m + -3)
-31 = (-6 + 6m) + -4(3m + -3)

Reorder the terms:
-31 = -6 + 6m + -4(-3 + 3m)
-31 = -6 + 6m + (-3 * -4 + 3m * -4)
-31 = -6 + 6m + (12 + -12m)

Reorder the terms:
-31 = -6 + 12 + 6m + -12m

Combine like terms: -6 + 12 = 6
-31 = 6 + 6m + -12m

Combine like terms: 6m + -12m = -6m
-31 = 6 + -6m

Solving
-31 = 6 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
-31 + 6m = 6 + -6m + 6m

Combine like terms: -6m + 6m = 0
-31 + 6m = 6 + 0
-31 + 6m = 6

Add '31' to each side of the equation.
-31 + 31 + 6m = 6 + 31

Combine like terms: -31 + 31 = 0
0 + 6m = 6 + 31
6m = 6 + 31

Combine like terms: 6 + 31 = 37
6m = 37

Divide each side by '6'.
m = 6.166666667

Simplifying
m = 6.166666667