4h-3(2-3h)=8h-2(4h+16)

Solution for 4h-3(2-3h)=8h-2(4h+16) equation:

Simplifying
4h + -3(2 + -3h) = 8h + -2(4h + 16)
4h + (2 * -3 + -3h * -3) = 8h + -2(4h + 16)
4h + (-6 + 9h) = 8h + -2(4h + 16)

Reorder the terms:
-6 + 4h + 9h = 8h + -2(4h + 16)

Combine like terms: 4h + 9h = 13h
-6 + 13h = 8h + -2(4h + 16)

Reorder the terms:
-6 + 13h = 8h + -2(16 + 4h)
-6 + 13h = 8h + (16 * -2 + 4h * -2)
-6 + 13h = 8h + (-32 + -8h)

Reorder the terms:
-6 + 13h = -32 + 8h + -8h

Combine like terms: 8h + -8h = 0
-6 + 13h = -32 + 0
-6 + 13h = -32

Solving
-6 + 13h = -32

Solving for variable 'h'.

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

Add '6' to each side of the equation.
-6 + 6 + 13h = -32 + 6

Combine like terms: -6 + 6 = 0
0 + 13h = -32 + 6
13h = -32 + 6

Combine like terms: -32 + 6 = -26
13h = -26

Divide each side by '13'.
h = -2

Simplifying
h = -2