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\frac{3h-1}{\left(3h-1\right)\left(h+3\right)}\left(h+3\right)
Factor the expressions that are not already factored in \frac{3h-1}{3h^{2}+8h-3}.
\frac{1}{h+3}\left(h+3\right)
Cancel out 3h-1 in both numerator and denominator.
1
Cancel out h+3 and h+3.
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