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\frac{2n}{3}-\frac{2\times 3}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{3}{3}.
\frac{2n-2\times 3}{3}
Since \frac{2n}{3} and \frac{2\times 3}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{2n-6}{3}
Do the multiplications in 2n-2\times 3.
\frac{2\left(n-3\right)}{3}
Factor out \frac{2}{3}.