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

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


Simplifying
6(h + 2) + 4 = 3(h + -2)

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

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

Combine like terms: 12 + 4 = 16
16 + 6h = 3(h + -2)

Reorder the terms:
16 + 6h = 3(-2 + h)
16 + 6h = (-2 * 3 + h * 3)
16 + 6h = (-6 + 3h)

Solving
16 + 6h = -6 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
16 + 6h + -3h = -6 + 3h + -3h

Combine like terms: 6h + -3h = 3h
16 + 3h = -6 + 3h + -3h

Combine like terms: 3h + -3h = 0
16 + 3h = -6 + 0
16 + 3h = -6

Add '-16' to each side of the equation.
16 + -16 + 3h = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 3h = -6 + -16
3h = -6 + -16

Combine like terms: -6 + -16 = -22
3h = -22

Divide each side by '3'.
h = -7.333333333

Simplifying
h = -7.333333333

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