23.5=-5.5(8.5r-9.5)

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Solution for 23.5=-5.5(8.5r-9.5) equation: 


Simplifying
23.5 = -5.5(8.5r + -9.5)

Reorder the terms:
23.5 = -5.5(-9.5 + 8.5r)
23.5 = (-9.5 * -5.5 + 8.5r * -5.5)
23.5 = (52.25 + -46.75r)

Solving
23.5 = 52.25 + -46.75r

Solving for variable 'r'.

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

Add '46.75r' to each side of the equation.
23.5 + 46.75r = 52.25 + -46.75r + 46.75r

Combine like terms: -46.75r + 46.75r = 0.00
23.5 + 46.75r = 52.25 + 0.00
23.5 + 46.75r = 52.25

Add '-23.5' to each side of the equation.
23.5 + -23.5 + 46.75r = 52.25 + -23.5

Combine like terms: 23.5 + -23.5 = 0.0
0.0 + 46.75r = 52.25 + -23.5
46.75r = 52.25 + -23.5

Combine like terms: 52.25 + -23.5 = 28.75
46.75r = 28.75

Divide each side by '46.75'.
r = 0.614973262

Simplifying
r = 0.614973262

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