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\frac{2\left(-2\right)}{3}-5
Express \frac{2}{3}\left(-2\right) as a single fraction.
\frac{-4}{3}-5
Multiply 2 and -2 to get -4.
-\frac{4}{3}-5
Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.
-\frac{4}{3}-\frac{15}{3}
Convert 5 to fraction \frac{15}{3}.
\frac{-4-15}{3}
Since -\frac{4}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{19}{3}
Subtract 15 from -4 to get -19.