3(m-23)=27-3(m-2)

Solution for 3(m-23)=27-3(m-2) equation:

Simplifying
3(m + -23) = 27 + -3(m + -2)

Reorder the terms:
3(-23 + m) = 27 + -3(m + -2)
(-23 * 3 + m * 3) = 27 + -3(m + -2)
(-69 + 3m) = 27 + -3(m + -2)

Reorder the terms:
-69 + 3m = 27 + -3(-2 + m)
-69 + 3m = 27 + (-2 * -3 + m * -3)
-69 + 3m = 27 + (6 + -3m)

Combine like terms: 27 + 6 = 33
-69 + 3m = 33 + -3m

Solving
-69 + 3m = 33 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
-69 + 3m + 3m = 33 + -3m + 3m

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

Combine like terms: -3m + 3m = 0
-69 + 6m = 33 + 0
-69 + 6m = 33

Add '69' to each side of the equation.
-69 + 69 + 6m = 33 + 69

Combine like terms: -69 + 69 = 0
0 + 6m = 33 + 69
6m = 33 + 69

Combine like terms: 33 + 69 = 102
6m = 102

Divide each side by '6'.
m = 17

Simplifying
m = 17