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\left(-\frac{6+1}{3}\right)\times \frac{1\times 7+2}{7}-\left(-3\right)
Multiply 2 and 3 to get 6.
-\frac{7}{3}\times \frac{7+2}{7}-\left(-3\right)
Add 6 and 1 to get 7.
-\frac{7}{3}\times \frac{9}{7}-\left(-3\right)
Add 7 and 2 to get 9.
\frac{-7\times 9}{3\times 7}-\left(-3\right)
Multiply -\frac{7}{3} times \frac{9}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{-63}{21}-\left(-3\right)
Do the multiplications in the fraction \frac{-7\times 9}{3\times 7}.
-3-\left(-3\right)
Divide -63 by 21 to get -3.
-3+3
The opposite of -3 is 3.
0
Add -3 and 3 to get 0.