33=-3(23-m)+3(m-2)

Solution for 33=-3(23-m)+3(m-2) equation:

Simplifying
33 = -3(23 + -1m) + 3(m + -2)
33 = (23 * -3 + -1m * -3) + 3(m + -2)
33 = (-69 + 3m) + 3(m + -2)

Reorder the terms:
33 = -69 + 3m + 3(-2 + m)
33 = -69 + 3m + (-2 * 3 + m * 3)
33 = -69 + 3m + (-6 + 3m)

Reorder the terms:
33 = -69 + -6 + 3m + 3m

Combine like terms: -69 + -6 = -75
33 = -75 + 3m + 3m

Combine like terms: 3m + 3m = 6m
33 = -75 + 6m

Solving
33 = -75 + 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.
33 + -6m = -75 + 6m + -6m

Combine like terms: 6m + -6m = 0
33 + -6m = -75 + 0
33 + -6m = -75

Add '-33' to each side of the equation.
33 + -33 + -6m = -75 + -33

Combine like terms: 33 + -33 = 0
0 + -6m = -75 + -33
-6m = -75 + -33

Combine like terms: -75 + -33 = -108
-6m = -108

Divide each side by '-6'.
m = 18

Simplifying
m = 18