Solve for r
r=6
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\left(r+5\right)\times 10=\left(r-5\right)\times 110
Variable r cannot be equal to any of the values -5,5 since division by zero is not defined. Multiply both sides of the equation by \left(r-5\right)\left(r+5\right), the least common multiple of r-5,r+5.
10r+50=\left(r-5\right)\times 110
Use the distributive property to multiply r+5 by 10.
10r+50=110r-550
Use the distributive property to multiply r-5 by 110.
10r+50-110r=-550
Subtract 110r from both sides.
-100r+50=-550
Combine 10r and -110r to get -100r.
-100r=-550-50
Subtract 50 from both sides.
-100r=-600
Subtract 50 from -550 to get -600.
r=\frac{-600}{-100}
Divide both sides by -100.
r=6
Divide -600 by -100 to get 6.
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