5.5(9.5r-2.5)=22.5-2r

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Solution for 5.5(9.5r-2.5)=22.5-2r equation: 


Simplifying
5.5(9.5r + -2.5) = 22.5 + -2r

Reorder the terms:
5.5(-2.5 + 9.5r) = 22.5 + -2r
(-2.5 * 5.5 + 9.5r * 5.5) = 22.5 + -2r
(-13.75 + 52.25r) = 22.5 + -2r

Solving
-13.75 + 52.25r = 22.5 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
-13.75 + 52.25r + 2r = 22.5 + -2r + 2r

Combine like terms: 52.25r + 2r = 54.25r
-13.75 + 54.25r = 22.5 + -2r + 2r

Combine like terms: -2r + 2r = 0
-13.75 + 54.25r = 22.5 + 0
-13.75 + 54.25r = 22.5

Add '13.75' to each side of the equation.
-13.75 + 13.75 + 54.25r = 22.5 + 13.75

Combine like terms: -13.75 + 13.75 = 0.00
0.00 + 54.25r = 22.5 + 13.75
54.25r = 22.5 + 13.75

Combine like terms: 22.5 + 13.75 = 36.25
54.25r = 36.25

Divide each side by '54.25'.
r = 0.668202765

Simplifying
r = 0.668202765

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