0.75(3r+10)=32.5+7.25r

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Solution for 0.75(3r+10)=32.5+7.25r equation: 


Simplifying
0.75(3r + 10) = 32.5 + 7.25r

Reorder the terms:
0.75(10 + 3r) = 32.5 + 7.25r
(10 * 0.75 + 3r * 0.75) = 32.5 + 7.25r
(7.5 + 2.25r) = 32.5 + 7.25r

Solving
7.5 + 2.25r = 32.5 + 7.25r

Solving for variable 'r'.

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

Add '-7.25r' to each side of the equation.
7.5 + 2.25r + -7.25r = 32.5 + 7.25r + -7.25r

Combine like terms: 2.25r + -7.25r = -5r
7.5 + -5r = 32.5 + 7.25r + -7.25r

Combine like terms: 7.25r + -7.25r = 0.00
7.5 + -5r = 32.5 + 0.00
7.5 + -5r = 32.5

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -5r = 32.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -5r = 32.5 + -7.5
-5r = 32.5 + -7.5

Combine like terms: 32.5 + -7.5 = 25
-5r = 25

Divide each side by '-5'.
r = -5

Simplifying
r = -5

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