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

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

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

Reorder the terms:
3(-23 + m) + 3(m + -2) = 33
(-23 * 3 + m * 3) + 3(m + -2) = 33
(-69 + 3m) + 3(m + -2) = 33

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

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

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

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

Solving
-75 + 6m = 33

Solving for variable 'm'.

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

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

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

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

Divide each side by '6'.
m = 18

Simplifying
m = 18