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

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

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

Reorder the terms:
3(6 + 2m) + -4(m + 6) = 0
(6 * 3 + 2m * 3) + -4(m + 6) = 0
(18 + 6m) + -4(m + 6) = 0

Reorder the terms:
18 + 6m + -4(6 + m) = 0
18 + 6m + (6 * -4 + m * -4) = 0
18 + 6m + (-24 + -4m) = 0

Reorder the terms:
18 + -24 + 6m + -4m = 0

Combine like terms: 18 + -24 = -6
-6 + 6m + -4m = 0

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

Solving
-6 + 2m = 0

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + 2m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2m = 0 + 6
2m = 0 + 6

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

Divide each side by '2'.
m = 3

Simplifying
m = 3