-3(m-2)=20+m

Solution for -3(m-2)=20+m equation:

Simplifying
-3(m + -2) = 20 + m

Reorder the terms:
-3(-2 + m) = 20 + m
(-2 * -3 + m * -3) = 20 + m
(6 + -3m) = 20 + m

Solving
6 + -3m = 20 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
6 + -3m + -1m = 20 + m + -1m

Combine like terms: -3m + -1m = -4m
6 + -4m = 20 + m + -1m

Combine like terms: m + -1m = 0
6 + -4m = 20 + 0
6 + -4m = 20

Add '-6' to each side of the equation.
6 + -6 + -4m = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -4m = 20 + -6
-4m = 20 + -6

Combine like terms: 20 + -6 = 14
-4m = 14

Divide each side by '-4'.
m = -3.5

Simplifying
m = -3.5