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\frac{17}{3}q=9-2q
Combine 5q and \frac{2}{3}q to get \frac{17}{3}q.
\frac{17}{3}q+2q=9
Add 2q to both sides.
\frac{23}{3}q=9
Combine \frac{17}{3}q and 2q to get \frac{23}{3}q.
q=9\times \frac{3}{23}
Multiply both sides by \frac{3}{23}, the reciprocal of \frac{23}{3}.
q=\frac{9\times 3}{23}
Express 9\times \frac{3}{23} as a single fraction.
q=\frac{27}{23}
Multiply 9 and 3 to get 27.