3(4h-2)-4h=11(3-4h)+39

Solution for 3(4h-2)-4h=11(3-4h)+39 equation:

Simplifying
3(4h + -2) + -4h = 11(3 + -4h) + 39

Reorder the terms:
3(-2 + 4h) + -4h = 11(3 + -4h) + 39
(-2 * 3 + 4h * 3) + -4h = 11(3 + -4h) + 39
(-6 + 12h) + -4h = 11(3 + -4h) + 39

Combine like terms: 12h + -4h = 8h
-6 + 8h = 11(3 + -4h) + 39
-6 + 8h = (3 * 11 + -4h * 11) + 39
-6 + 8h = (33 + -44h) + 39

Reorder the terms:
-6 + 8h = 33 + 39 + -44h

Combine like terms: 33 + 39 = 72
-6 + 8h = 72 + -44h

Solving
-6 + 8h = 72 + -44h

Solving for variable 'h'.

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

Add '44h' to each side of the equation.
-6 + 8h + 44h = 72 + -44h + 44h

Combine like terms: 8h + 44h = 52h
-6 + 52h = 72 + -44h + 44h

Combine like terms: -44h + 44h = 0
-6 + 52h = 72 + 0
-6 + 52h = 72

Add '6' to each side of the equation.
-6 + 6 + 52h = 72 + 6

Combine like terms: -6 + 6 = 0
0 + 52h = 72 + 6
52h = 72 + 6

Combine like terms: 72 + 6 = 78
52h = 78

Divide each side by '52'.
h = 1.5

Simplifying
h = 1.5