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5(r-3)=10(2r-10)
We simplify the equation to the form, which is simple to understand
5(r-3)=10(2r-10)
Reorder the terms in parentheses
+(+5r-15)=10*(2r-10)
Remove unnecessary parentheses
+5r-15=+10+*(+2r-10+)
Reorder the terms in parentheses
+5r-15=+(+20r-100)
Remove unnecessary parentheses
+5r-15=+20r-100
We move all terms containing r to the left and all other terms to the right.
+5r-20r=-100+15
We simplify left and right side of the equation.
-15r=-85
We divide both sides of the equation by -15 to get r.
r=5.66666666667
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