20.5-4h=2.5(6.5h+9)

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Solution for 20.5-4h=2.5(6.5h+9) equation: 


Simplifying
20.5 + -4h = 2.5(6.5h + 9)

Reorder the terms:
20.5 + -4h = 2.5(9 + 6.5h)
20.5 + -4h = (9 * 2.5 + 6.5h * 2.5)
20.5 + -4h = (22.5 + 16.25h)

Solving
20.5 + -4h = 22.5 + 16.25h

Solving for variable 'h'.

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

Add '-16.25h' to each side of the equation.
20.5 + -4h + -16.25h = 22.5 + 16.25h + -16.25h

Combine like terms: -4h + -16.25h = -20.25h
20.5 + -20.25h = 22.5 + 16.25h + -16.25h

Combine like terms: 16.25h + -16.25h = 0.00
20.5 + -20.25h = 22.5 + 0.00
20.5 + -20.25h = 22.5

Add '-20.5' to each side of the equation.
20.5 + -20.5 + -20.25h = 22.5 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + -20.25h = 22.5 + -20.5
-20.25h = 22.5 + -20.5

Combine like terms: 22.5 + -20.5 = 2
-20.25h = 2

Divide each side by '-20.25'.
h = -0.0987654321

Simplifying
h = -0.0987654321

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