3(m+2)+3m=-4(m-6)

Solution for 3(m+2)+3m=-4(m-6) equation:

Simplifying
3(m + 2) + 3m = -4(m + -6)

Reorder the terms:
3(2 + m) + 3m = -4(m + -6)
(2 * 3 + m * 3) + 3m = -4(m + -6)
(6 + 3m) + 3m = -4(m + -6)

Combine like terms: 3m + 3m = 6m
6 + 6m = -4(m + -6)

Reorder the terms:
6 + 6m = -4(-6 + m)
6 + 6m = (-6 * -4 + m * -4)
6 + 6m = (24 + -4m)

Solving
6 + 6m = 24 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
6 + 6m + 4m = 24 + -4m + 4m

Combine like terms: 6m + 4m = 10m
6 + 10m = 24 + -4m + 4m

Combine like terms: -4m + 4m = 0
6 + 10m = 24 + 0
6 + 10m = 24

Add '-6' to each side of the equation.
6 + -6 + 10m = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 10m = 24 + -6
10m = 24 + -6

Combine like terms: 24 + -6 = 18
10m = 18

Divide each side by '10'.
m = 1.8

Simplifying
m = 1.8