-4.5(6.5h-7.5)=17.5+2.5h

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Solution for -4.5(6.5h-7.5)=17.5+2.5h equation: 


Simplifying
-4.5(6.5h + -7.5) = 17.5 + 2.5h

Reorder the terms:
-4.5(-7.5 + 6.5h) = 17.5 + 2.5h
(-7.5 * -4.5 + 6.5h * -4.5) = 17.5 + 2.5h
(33.75 + -29.25h) = 17.5 + 2.5h

Solving
33.75 + -29.25h = 17.5 + 2.5h

Solving for variable 'h'.

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

Add '-2.5h' to each side of the equation.
33.75 + -29.25h + -2.5h = 17.5 + 2.5h + -2.5h

Combine like terms: -29.25h + -2.5h = -31.75h
33.75 + -31.75h = 17.5 + 2.5h + -2.5h

Combine like terms: 2.5h + -2.5h = 0.0
33.75 + -31.75h = 17.5 + 0.0
33.75 + -31.75h = 17.5

Add '-33.75' to each side of the equation.
33.75 + -33.75 + -31.75h = 17.5 + -33.75

Combine like terms: 33.75 + -33.75 = 0.00
0.00 + -31.75h = 17.5 + -33.75
-31.75h = 17.5 + -33.75

Combine like terms: 17.5 + -33.75 = -16.25
-31.75h = -16.25

Divide each side by '-31.75'.
h = 0.5118110236

Simplifying
h = 0.5118110236

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