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

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


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

Reorder the terms:
3(6 + h) = 4(h + -4)
(6 * 3 + h * 3) = 4(h + -4)
(18 + 3h) = 4(h + -4)

Reorder the terms:
18 + 3h = 4(-4 + h)
18 + 3h = (-4 * 4 + h * 4)
18 + 3h = (-16 + 4h)

Solving
18 + 3h = -16 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
18 + 3h + -4h = -16 + 4h + -4h

Combine like terms: 3h + -4h = -1h
18 + -1h = -16 + 4h + -4h

Combine like terms: 4h + -4h = 0
18 + -1h = -16 + 0
18 + -1h = -16

Add '-18' to each side of the equation.
18 + -18 + -1h = -16 + -18

Combine like terms: 18 + -18 = 0
0 + -1h = -16 + -18
-1h = -16 + -18

Combine like terms: -16 + -18 = -34
-1h = -34

Divide each side by '-1'.
h = 34

Simplifying
h = 34

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