3(m-22)+3(m-2)=30

Solution for 3(m-22)+3(m-2)=30 equation:

Simplifying
3(m + -22) + 3(m + -2) = 30

Reorder the terms:
3(-22 + m) + 3(m + -2) = 30
(-22 * 3 + m * 3) + 3(m + -2) = 30
(-66 + 3m) + 3(m + -2) = 30

Reorder the terms:
-66 + 3m + 3(-2 + m) = 30
-66 + 3m + (-2 * 3 + m * 3) = 30
-66 + 3m + (-6 + 3m) = 30

Reorder the terms:
-66 + -6 + 3m + 3m = 30

Combine like terms: -66 + -6 = -72
-72 + 3m + 3m = 30

Combine like terms: 3m + 3m = 6m
-72 + 6m = 30

Solving
-72 + 6m = 30

Solving for variable 'm'.

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

Add '72' to each side of the equation.
-72 + 72 + 6m = 30 + 72

Combine like terms: -72 + 72 = 0
0 + 6m = 30 + 72
6m = 30 + 72

Combine like terms: 30 + 72 = 102
6m = 102

Divide each side by '6'.
m = 17

Simplifying
m = 17