Answer :

Let's solve for p when the two expressions are equal.

[tex]p(5-2n)=\frac{5}6 - \frac{1}3n \\\\ p=\frac{\frac{5}6-\frac{1}3n}{5-2n}*\frac{6}6= \frac{5-2n}{6(5-2n)} = \boxed{\frac{1}6}[/tex]

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