4(11h+14)+20h=4(h-16)

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Solution for 4(11h+14)+20h=4(h-16) equation:


Simplifying
4(11h + 14) + 20h = 4(h + -16)

Reorder the terms:
4(14 + 11h) + 20h = 4(h + -16)
(14 * 4 + 11h * 4) + 20h = 4(h + -16)
(56 + 44h) + 20h = 4(h + -16)

Combine like terms: 44h + 20h = 64h
56 + 64h = 4(h + -16)

Reorder the terms:
56 + 64h = 4(-16 + h)
56 + 64h = (-16 * 4 + h * 4)
56 + 64h = (-64 + 4h)

Solving
56 + 64h = -64 + 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.
56 + 64h + -4h = -64 + 4h + -4h

Combine like terms: 64h + -4h = 60h
56 + 60h = -64 + 4h + -4h

Combine like terms: 4h + -4h = 0
56 + 60h = -64 + 0
56 + 60h = -64

Add '-56' to each side of the equation.
56 + -56 + 60h = -64 + -56

Combine like terms: 56 + -56 = 0
0 + 60h = -64 + -56
60h = -64 + -56

Combine like terms: -64 + -56 = -120
60h = -120

Divide each side by '60'.
h = -2

Simplifying
h = -2

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