7-8(3h-4)=23+7h-3

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Solution for 7-8(3h-4)=23+7h-3 equation:


Simplifying
7 + -8(3h + -4) = 23 + 7h + -3

Reorder the terms:
7 + -8(-4 + 3h) = 23 + 7h + -3
7 + (-4 * -8 + 3h * -8) = 23 + 7h + -3
7 + (32 + -24h) = 23 + 7h + -3

Combine like terms: 7 + 32 = 39
39 + -24h = 23 + 7h + -3

Reorder the terms:
39 + -24h = 23 + -3 + 7h

Combine like terms: 23 + -3 = 20
39 + -24h = 20 + 7h

Solving
39 + -24h = 20 + 7h

Solving for variable 'h'.

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

Add '-7h' to each side of the equation.
39 + -24h + -7h = 20 + 7h + -7h

Combine like terms: -24h + -7h = -31h
39 + -31h = 20 + 7h + -7h

Combine like terms: 7h + -7h = 0
39 + -31h = 20 + 0
39 + -31h = 20

Add '-39' to each side of the equation.
39 + -39 + -31h = 20 + -39

Combine like terms: 39 + -39 = 0
0 + -31h = 20 + -39
-31h = 20 + -39

Combine like terms: 20 + -39 = -19
-31h = -19

Divide each side by '-31'.
h = 0.6129032258

Simplifying
h = 0.6129032258

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