-8m-[2(12-3m)+9]=9m

Solution for -8m-[2(12-3m)+9]=9m equation:

Simplifying
-8m + -1[2(12 + -3m) + 9] = 9m
-8m + -1[(12 * 2 + -3m * 2) + 9] = 9m
-8m + -1[(24 + -6m) + 9] = 9m

Reorder the terms:
-8m + -1[24 + 9 + -6m] = 9m

Combine like terms: 24 + 9 = 33
-8m + -1[33 + -6m] = 9m
-8m + [33 * -1 + -6m * -1] = 9m
-8m + [-33 + 6m] = 9m

Reorder the terms:
-33 + -8m + 6m = 9m

Combine like terms: -8m + 6m = -2m
-33 + -2m = 9m

Solving
-33 + -2m = 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
-33 + -2m + -9m = 9m + -9m

Combine like terms: -2m + -9m = -11m
-33 + -11m = 9m + -9m

Combine like terms: 9m + -9m = 0
-33 + -11m = 0

Add '33' to each side of the equation.
-33 + 33 + -11m = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -11m = 0 + 33
-11m = 0 + 33

Combine like terms: 0 + 33 = 33
-11m = 33

Divide each side by '-11'.
m = -3

Simplifying
m = -3