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6(1+3r)=2(10r-9)-4r
We simplify the equation to the form, which is simple to understand
6(1+3r)=2(10r-9)-4r
Reorder the terms in parentheses
+(+6+18r)=2*(10r-9)-4r
Remove unnecessary parentheses
+6+18r=+2+*(+10r-9+)-4r
Reorder the terms in parentheses
+6+18r=+(+20r-18)-4r
Remove unnecessary parentheses
+6+18r=+20r-18-4r
We move all terms containing r to the left and all other terms to the right.
+18r-20r+4r=-18-6
We simplify left and right side of the equation.
+2r=-24
We divide both sides of the equation by 2 to get r.
r=-12
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