2(m+6)-4(-5m+9)=64

Solution for 2(m+6)-4(-5m+9)=64 equation:

Simplifying
2(m + 6) + -4(-5m + 9) = 64

Reorder the terms:
2(6 + m) + -4(-5m + 9) = 64
(6 * 2 + m * 2) + -4(-5m + 9) = 64
(12 + 2m) + -4(-5m + 9) = 64

Reorder the terms:
12 + 2m + -4(9 + -5m) = 64
12 + 2m + (9 * -4 + -5m * -4) = 64
12 + 2m + (-36 + 20m) = 64

Reorder the terms:
12 + -36 + 2m + 20m = 64

Combine like terms: 12 + -36 = -24
-24 + 2m + 20m = 64

Combine like terms: 2m + 20m = 22m
-24 + 22m = 64

Solving
-24 + 22m = 64

Solving for variable 'm'.

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

Add '24' to each side of the equation.
-24 + 24 + 22m = 64 + 24

Combine like terms: -24 + 24 = 0
0 + 22m = 64 + 24
22m = 64 + 24

Combine like terms: 64 + 24 = 88
22m = 88

Divide each side by '22'.
m = 4

Simplifying
m = 4