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5-\frac{-13\left(-6\right)}{3}
Express -\frac{13}{3}\left(-6\right) as a single fraction.
5-\frac{78}{3}
Multiply -13 and -6 to get 78.
5-26
Divide 78 by 3 to get 26.
-21
Subtract 26 from 5 to get -21.