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\frac{8v^{2}+6v-9}{\left(4v-3\right)\left(2v+3\right)}
Express \frac{\frac{8v^{2}+6v-9}{4v-3}}{2v+3} as a single fraction.
\frac{\left(4v-3\right)\left(2v+3\right)}{\left(4v-3\right)\left(2v+3\right)}
Factor the expressions that are not already factored.
1
Cancel out \left(4v-3\right)\left(2v+3\right) in both numerator and denominator.
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