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

Solution for 4m+6+2(3m-4)-4(m+4)=0 equation:

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

Reorder the terms:
4m + 6 + 2(-4 + 3m) + -4(m + 4) = 0
4m + 6 + (-4 * 2 + 3m * 2) + -4(m + 4) = 0
4m + 6 + (-8 + 6m) + -4(m + 4) = 0

Reorder the terms:
4m + 6 + -8 + 6m + -4(4 + m) = 0
4m + 6 + -8 + 6m + (4 * -4 + m * -4) = 0
4m + 6 + -8 + 6m + (-16 + -4m) = 0

Reorder the terms:
6 + -8 + -16 + 4m + 6m + -4m = 0

Combine like terms: 6 + -8 = -2
-2 + -16 + 4m + 6m + -4m = 0

Combine like terms: -2 + -16 = -18
-18 + 4m + 6m + -4m = 0

Combine like terms: 4m + 6m = 10m
-18 + 10m + -4m = 0

Combine like terms: 10m + -4m = 6m
-18 + 6m = 0

Solving
-18 + 6m = 0

Solving for variable 'm'.

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

Add '18' to each side of the equation.
-18 + 18 + 6m = 0 + 18

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

Combine like terms: 0 + 18 = 18
6m = 18

Divide each side by '6'.
m = 3

Simplifying
m = 3