-27.5=9.5(5.5r+8)

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Solution for -27.5=9.5(5.5r+8) equation: 


Simplifying
-27.5 = 9.5(5.5r + 8)

Reorder the terms:
-27.5 = 9.5(8 + 5.5r)
-27.5 = (8 * 9.5 + 5.5r * 9.5)
-27.5 = (76 + 52.25r)

Solving
-27.5 = 76 + 52.25r

Solving for variable 'r'.

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

Add '-52.25r' to each side of the equation.
-27.5 + -52.25r = 76 + 52.25r + -52.25r

Combine like terms: 52.25r + -52.25r = 0.00
-27.5 + -52.25r = 76 + 0.00
-27.5 + -52.25r = 76

Add '27.5' to each side of the equation.
-27.5 + 27.5 + -52.25r = 76 + 27.5

Combine like terms: -27.5 + 27.5 = 0.0
0.0 + -52.25r = 76 + 27.5
-52.25r = 76 + 27.5

Combine like terms: 76 + 27.5 = 103.5
-52.25r = 103.5

Divide each side by '-52.25'.
r = -1.980861244

Simplifying
r = -1.980861244

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