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\frac{9\times 7}{3}+6\left(-\frac{7}{3}\right)-7
Express 9\times \frac{7}{3} as a single fraction.
\frac{63}{3}+6\left(-\frac{7}{3}\right)-7
Multiply 9 and 7 to get 63.
21+6\left(-\frac{7}{3}\right)-7
Divide 63 by 3 to get 21.
21+\frac{6\left(-7\right)}{3}-7
Express 6\left(-\frac{7}{3}\right) as a single fraction.
21+\frac{-42}{3}-7
Multiply 6 and -7 to get -42.
21-14-7
Divide -42 by 3 to get -14.
7-7
Subtract 14 from 21 to get 7.
0
Subtract 7 from 7 to get 0.