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Solve for r
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-4=\frac{2r-6}{2+1}
Multiply 1 and -6 to get -6.
-4=\frac{2r-6}{3}
Add 2 and 1 to get 3.
-4=\frac{2}{3}r-2
Divide each term of 2r-6 by 3 to get \frac{2}{3}r-2.
\frac{2}{3}r-2=-4
Swap sides so that all variable terms are on the left hand side.
\frac{2}{3}r=-4+2
Add 2 to both sides.
\frac{2}{3}r=-2
Add -4 and 2 to get -2.
r=-2\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
r=-3
Multiply -2 times \frac{3}{2}.