Answer
$1+\frac{3}{q-4}$
Work Step by Step
Rewrite $q-1$ as $(q-4)+3$. Therefore, $$=\frac{(q-4)+3}{q-4}=\frac{q-4}{q-4}+\frac{3}{q-4}=1+\frac{3}{q-4}$$
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