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-2\left(-\frac{2}{3}\right)-1
Divide 3 by 3 to get 1.
\frac{-2\left(-2\right)}{3}-1
Express -2\left(-\frac{2}{3}\right) as a single fraction.
\frac{4}{3}-1
Multiply -2 and -2 to get 4.
\frac{4}{3}-\frac{3}{3}
Convert 1 to fraction \frac{3}{3}.
\frac{4-3}{3}
Since \frac{4}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{3}
Subtract 3 from 4 to get 1.