-16.6h-4(-10.9h-6.68)=8(-6.7h+7.37)

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Solution for -16.6h-4(-10.9h-6.68)=8(-6.7h+7.37) equation:


Simplifying
-16.6h + -4(-10.9h + -6.68) = 8(-6.7h + 7.37)

Reorder the terms:
-16.6h + -4(-6.68 + -10.9h) = 8(-6.7h + 7.37)
-16.6h + (-6.68 * -4 + -10.9h * -4) = 8(-6.7h + 7.37)
-16.6h + (26.72 + 43.6h) = 8(-6.7h + 7.37)

Reorder the terms:
26.72 + -16.6h + 43.6h = 8(-6.7h + 7.37)

Combine like terms: -16.6h + 43.6h = 27h
26.72 + 27h = 8(-6.7h + 7.37)

Reorder the terms:
26.72 + 27h = 8(7.37 + -6.7h)
26.72 + 27h = (7.37 * 8 + -6.7h * 8)
26.72 + 27h = (58.96 + -53.6h)

Solving
26.72 + 27h = 58.96 + -53.6h

Solving for variable 'h'.

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

Add '53.6h' to each side of the equation.
26.72 + 27h + 53.6h = 58.96 + -53.6h + 53.6h

Combine like terms: 27h + 53.6h = 80.6h
26.72 + 80.6h = 58.96 + -53.6h + 53.6h

Combine like terms: -53.6h + 53.6h = 0.0
26.72 + 80.6h = 58.96 + 0.0
26.72 + 80.6h = 58.96

Add '-26.72' to each side of the equation.
26.72 + -26.72 + 80.6h = 58.96 + -26.72

Combine like terms: 26.72 + -26.72 = 0.00
0.00 + 80.6h = 58.96 + -26.72
80.6h = 58.96 + -26.72

Combine like terms: 58.96 + -26.72 = 32.24
80.6h = 32.24

Divide each side by '80.6'.
h = 0.4

Simplifying
h = 0.4

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