10(4h+4)=4(6h-8)

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Solution for 10(4h+4)=4(6h-8) equation:


Simplifying
10(4h + 4) = 4(6h + -8)

Reorder the terms:
10(4 + 4h) = 4(6h + -8)
(4 * 10 + 4h * 10) = 4(6h + -8)
(40 + 40h) = 4(6h + -8)

Reorder the terms:
40 + 40h = 4(-8 + 6h)
40 + 40h = (-8 * 4 + 6h * 4)
40 + 40h = (-32 + 24h)

Solving
40 + 40h = -32 + 24h

Solving for variable 'h'.

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

Add '-24h' to each side of the equation.
40 + 40h + -24h = -32 + 24h + -24h

Combine like terms: 40h + -24h = 16h
40 + 16h = -32 + 24h + -24h

Combine like terms: 24h + -24h = 0
40 + 16h = -32 + 0
40 + 16h = -32

Add '-40' to each side of the equation.
40 + -40 + 16h = -32 + -40

Combine like terms: 40 + -40 = 0
0 + 16h = -32 + -40
16h = -32 + -40

Combine like terms: -32 + -40 = -72
16h = -72

Divide each side by '16'.
h = -4.5

Simplifying
h = -4.5

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