why did the 2 changed into a 3 for the last step after simplifying?
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$\displaystyle \frac{2}{3}$ was factored out, so $\displaystyle \frac{2}{\frac{2}{3}}=2\cdot\frac{3}{2}=3$ Notice that $\displaystyle \frac{2}{3}\cdot3=2$ if you were to distribute as a check.
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