24.5=-8+9.5(h-3.5)

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Solution for 24.5=-8+9.5(h-3.5) equation: 


Simplifying
24.5 = -8 + 9.5(h + -3.5)

Reorder the terms:
24.5 = -8 + 9.5(-3.5 + h)
24.5 = -8 + (-3.5 * 9.5 + h * 9.5)
24.5 = -8 + (-33.25 + 9.5h)

Combine like terms: -8 + -33.25 = -41.25
24.5 = -41.25 + 9.5h

Solving
24.5 = -41.25 + 9.5h

Solving for variable 'h'.

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

Add '-9.5h' to each side of the equation.
24.5 + -9.5h = -41.25 + 9.5h + -9.5h

Combine like terms: 9.5h + -9.5h = 0.0
24.5 + -9.5h = -41.25 + 0.0
24.5 + -9.5h = -41.25

Add '-24.5' to each side of the equation.
24.5 + -24.5 + -9.5h = -41.25 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + -9.5h = -41.25 + -24.5
-9.5h = -41.25 + -24.5

Combine like terms: -41.25 + -24.5 = -65.75
-9.5h = -65.75

Divide each side by '-9.5'.
h = 6.921052632

Simplifying
h = 6.921052632

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