(r/10)-(2/15)=(3r/20)-(1/5)

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Solution for (r/10)-(2/15)=(3r/20)-(1/5) equation:


(r/10)-(2/15)=(3r/20)-(1/5)

We simplify the equation to the form, which is simple to understand 
(r/10)-(2/15)=(3r/20)-(1/5)

Simplifying:
( + 0.1r)-(2/15)=(3r/20)-(1/5)

Simplifying:
( + 0.1r)-( + 0.133333333333)=(3r/20)-(1/5)

Simplifying:
( + 0.1r)-( + 0.133333333333)=( + 0.15r)-(1/5)

Simplifying:
( + 0.1r)-( + 0.133333333333)=( + 0.15r)-( + 0.2)

Remove unnecessary parentheses
 + 0.1r-( + 0.133333333333)=( + 0.15r)-( + 0.2)

Remove unnecessary parentheses
 + 0.1r-0.133333333333=( + 0.15r)-( + 0.2)

Remove unnecessary parentheses
 + 0.1r-0.133333333333=0.15r-( + 0.2)

Remove unnecessary parentheses
 + 0.1r-0.133333333333=0.15r-0.2

We move all terms containing r to the left and all other terms to the right. 
 + 0.1r-0.15r=-0.2 + 0.133333333333

We simplify left and right side of the equation. 
-0.05r=-0.066666666667

We divide both sides of the equation by -0.05 to get r. 
r=1.33333333334

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