0.75(3r+10)=30-3n

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Solution for 0.75(3r+10)=30-3n equation: 


Simplifying
0.75(3r + 10) = 30 + -3n

Reorder the terms:
0.75(10 + 3r) = 30 + -3n
(10 * 0.75 + 3r * 0.75) = 30 + -3n
(7.5 + 2.25r) = 30 + -3n

Solving
7.5 + 2.25r = 30 + -3n

Solving for variable 'r'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 2.25r = 30 + -7.5 + -3n

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 2.25r = 30 + -7.5 + -3n
2.25r = 30 + -7.5 + -3n

Combine like terms: 30 + -7.5 = 22.5
2.25r = 22.5 + -3n

Divide each side by '2.25'.
r = 10 + -1.333333333n

Simplifying
r = 10 + -1.333333333n

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