0.09(r+50)+0.15r=52.5

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Solution for 0.09(r+50)+0.15r=52.5 equation: 


Simplifying
0.09(r + 50) + 0.15r = 52.5

Reorder the terms:
0.09(50 + r) + 0.15r = 52.5
(50 * 0.09 + r * 0.09) + 0.15r = 52.5
(4.5 + 0.09r) + 0.15r = 52.5

Combine like terms: 0.09r + 0.15r = 0.24r
4.5 + 0.24r = 52.5

Solving
4.5 + 0.24r = 52.5

Solving for variable 'r'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.24r = 52.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.24r = 52.5 + -4.5
0.24r = 52.5 + -4.5

Combine like terms: 52.5 + -4.5 = 48
0.24r = 48

Divide each side by '0.24'.
r = 200

Simplifying
r = 200

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