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\left(-\frac{12+1}{2}\right)\times \frac{2\times 3+2}{3}
Multiply 6 and 2 to get 12.
-\frac{13}{2}\times \frac{2\times 3+2}{3}
Add 12 and 1 to get 13.
-\frac{13}{2}\times \frac{6+2}{3}
Multiply 2 and 3 to get 6.
-\frac{13}{2}\times \frac{8}{3}
Add 6 and 2 to get 8.
\frac{-13\times 8}{2\times 3}
Multiply -\frac{13}{2} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{-104}{6}
Do the multiplications in the fraction \frac{-13\times 8}{2\times 3}.
-\frac{52}{3}
Reduce the fraction \frac{-104}{6} to lowest terms by extracting and canceling out 2.