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

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

Simplifying
2(m + 3) + 4(m + 6) = 0

Reorder the terms:
2(3 + m) + 4(m + 6) = 0
(3 * 2 + m * 2) + 4(m + 6) = 0
(6 + 2m) + 4(m + 6) = 0

Reorder the terms:
6 + 2m + 4(6 + m) = 0
6 + 2m + (6 * 4 + m * 4) = 0
6 + 2m + (24 + 4m) = 0

Reorder the terms:
6 + 24 + 2m + 4m = 0

Combine like terms: 6 + 24 = 30
30 + 2m + 4m = 0

Combine like terms: 2m + 4m = 6m
30 + 6m = 0

Solving
30 + 6m = 0

Solving for variable 'm'.

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

Add '-30' to each side of the equation.
30 + -30 + 6m = 0 + -30

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

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

Divide each side by '6'.
m = -5

Simplifying
m = -5