-5(3h-6.5)=28.5-5.5h

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Solution for -5(3h-6.5)=28.5-5.5h equation: 


Simplifying
-5(3h + -6.5) = 28.5 + -5.5h

Reorder the terms:
-5(-6.5 + 3h) = 28.5 + -5.5h
(-6.5 * -5 + 3h * -5) = 28.5 + -5.5h
(32.5 + -15h) = 28.5 + -5.5h

Solving
32.5 + -15h = 28.5 + -5.5h

Solving for variable 'h'.

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

Add '5.5h' to each side of the equation.
32.5 + -15h + 5.5h = 28.5 + -5.5h + 5.5h

Combine like terms: -15h + 5.5h = -9.5h
32.5 + -9.5h = 28.5 + -5.5h + 5.5h

Combine like terms: -5.5h + 5.5h = 0.0
32.5 + -9.5h = 28.5 + 0.0
32.5 + -9.5h = 28.5

Add '-32.5' to each side of the equation.
32.5 + -32.5 + -9.5h = 28.5 + -32.5

Combine like terms: 32.5 + -32.5 = 0.0
0.0 + -9.5h = 28.5 + -32.5
-9.5h = 28.5 + -32.5

Combine like terms: 28.5 + -32.5 = -4
-9.5h = -4

Divide each side by '-9.5'.
h = 0.4210526316

Simplifying
h = 0.4210526316

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