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7-\frac{5}{3}r=-3
Combine -r and -\frac{2}{3}r to get -\frac{5}{3}r.
-\frac{5}{3}r=-3-7
Subtract 7 from both sides.
-\frac{5}{3}r=-10
Subtract 7 from -3 to get -10.
r=-10\left(-\frac{3}{5}\right)
Multiply both sides by -\frac{3}{5}, the reciprocal of -\frac{5}{3}.
r=\frac{-10\left(-3\right)}{5}
Express -10\left(-\frac{3}{5}\right) as a single fraction.
r=\frac{30}{5}
Multiply -10 and -3 to get 30.
r=6
Divide 30 by 5 to get 6.