-8(4h-9)+11h=-17h+16

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Solution for -8(4h-9)+11h=-17h+16 equation:


Simplifying
-8(4h + -9) + 11h = -17h + 16

Reorder the terms:
-8(-9 + 4h) + 11h = -17h + 16
(-9 * -8 + 4h * -8) + 11h = -17h + 16
(72 + -32h) + 11h = -17h + 16

Combine like terms: -32h + 11h = -21h
72 + -21h = -17h + 16

Reorder the terms:
72 + -21h = 16 + -17h

Solving
72 + -21h = 16 + -17h

Solving for variable 'h'.

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

Add '17h' to each side of the equation.
72 + -21h + 17h = 16 + -17h + 17h

Combine like terms: -21h + 17h = -4h
72 + -4h = 16 + -17h + 17h

Combine like terms: -17h + 17h = 0
72 + -4h = 16 + 0
72 + -4h = 16

Add '-72' to each side of the equation.
72 + -72 + -4h = 16 + -72

Combine like terms: 72 + -72 = 0
0 + -4h = 16 + -72
-4h = 16 + -72

Combine like terms: 16 + -72 = -56
-4h = -56

Divide each side by '-4'.
h = 14

Simplifying
h = 14

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