2.5(9.5r-8.5)=15.5-6.5r

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Solution for 2.5(9.5r-8.5)=15.5-6.5r equation: 


Simplifying
2.5(9.5r + -8.5) = 15.5 + -6.5r

Reorder the terms:
2.5(-8.5 + 9.5r) = 15.5 + -6.5r
(-8.5 * 2.5 + 9.5r * 2.5) = 15.5 + -6.5r
(-21.25 + 23.75r) = 15.5 + -6.5r

Solving
-21.25 + 23.75r = 15.5 + -6.5r

Solving for variable 'r'.

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

Add '6.5r' to each side of the equation.
-21.25 + 23.75r + 6.5r = 15.5 + -6.5r + 6.5r

Combine like terms: 23.75r + 6.5r = 30.25r
-21.25 + 30.25r = 15.5 + -6.5r + 6.5r

Combine like terms: -6.5r + 6.5r = 0.0
-21.25 + 30.25r = 15.5 + 0.0
-21.25 + 30.25r = 15.5

Add '21.25' to each side of the equation.
-21.25 + 21.25 + 30.25r = 15.5 + 21.25

Combine like terms: -21.25 + 21.25 = 0.00
0.00 + 30.25r = 15.5 + 21.25
30.25r = 15.5 + 21.25

Combine like terms: 15.5 + 21.25 = 36.75
30.25r = 36.75

Divide each side by '30.25'.
r = 1.214876033

Simplifying
r = 1.214876033

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