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

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

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

Reorder the terms:
3(2 + m) + 4(6 + m) = 0
(2 * 3 + m * 3) + 4(6 + m) = 0
(6 + 3m) + 4(6 + m) = 0
6 + 3m + (6 * 4 + m * 4) = 0
6 + 3m + (24 + 4m) = 0

Reorder the terms:
6 + 24 + 3m + 4m = 0

Combine like terms: 6 + 24 = 30
30 + 3m + 4m = 0

Combine like terms: 3m + 4m = 7m
30 + 7m = 0

Solving
30 + 7m = 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 + 7m = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 7m = 0 + -30
7m = 0 + -30

Combine like terms: 0 + -30 = -30
7m = -30

Divide each side by '7'.
m = -4.285714286

Simplifying
m = -4.285714286