3(m-23)+3(m-2)=21

Solution for 3(m-23)+3(m-2)=21 equation:

Simplifying
3(m + -23) + 3(m + -2) = 21

Reorder the terms:
3(-23 + m) + 3(m + -2) = 21
(-23 * 3 + m * 3) + 3(m + -2) = 21
(-69 + 3m) + 3(m + -2) = 21

Reorder the terms:
-69 + 3m + 3(-2 + m) = 21
-69 + 3m + (-2 * 3 + m * 3) = 21
-69 + 3m + (-6 + 3m) = 21

Reorder the terms:
-69 + -6 + 3m + 3m = 21

Combine like terms: -69 + -6 = -75
-75 + 3m + 3m = 21

Combine like terms: 3m + 3m = 6m
-75 + 6m = 21

Solving
-75 + 6m = 21

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 = 21 + 75

Combine like terms: -75 + 75 = 0
0 + 6m = 21 + 75
6m = 21 + 75

Combine like terms: 21 + 75 = 96
6m = 96

Divide each side by '6'.
m = 16

Simplifying
m = 16