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12(r-3)=5(13-r)+35
We simplify the equation to the form, which is simple to understand
12(r-3)=5(13-r)+35
Reorder the terms in parentheses
+(+12r-36)=5*(13-r)+35
Remove unnecessary parentheses
+12r-36=+5+*(+13-r+)+35
Reorder the terms in parentheses
+12r-36=+(+65-5r)+35
Remove unnecessary parentheses
+12r-36=+65-5r+35
We move all terms containing r to the left and all other terms to the right.
+12r+5r=+65+35+36
We simplify left and right side of the equation.
+17r=+136
We divide both sides of the equation by 17 to get r.
r=8
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