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\frac{4\left(-3\right)}{3}-2
Express \frac{4}{3}\left(-3\right) as a single fraction.
\frac{-12}{3}-2
Multiply 4 and -3 to get -12.
-4-2
Divide -12 by 3 to get -4.
-6
Subtract 2 from -4 to get -6.