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-5(r+3)-6=3(r-2)-9
We simplify the equation to the form, which is simple to understand
-5(r+3)-6=3(r-2)-9
Reorder the terms in parentheses
+(-5r-15)-6=3*(r-2)-9
Remove unnecessary parentheses
-5r-15-6=+3+*(+r-2+)-9
Reorder the terms in parentheses
-5r-15-6=+(+3r-6)-9
Remove unnecessary parentheses
-5r-15-6=+3r-6-9
We move all terms containing r to the left and all other terms to the right.
-5r-3r=-6-9+15+6
We simplify left and right side of the equation.
-8r=+6
We divide both sides of the equation by -8 to get r.
r=-0.75
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