The problem requires simplifying the expression $\frac{5p+9}{3-2p} - 4$.

1. Problem Description

The problem requires simplifying the expression $\frac{5p+9}{3-2p} - 4$.

2. Solution Steps

First, rewrite 4 as a fraction with the same denominator as the first term:

$4 = \frac{4(3-2p)}{3-2p} = \frac{12-8p}{3-2p}$.

Then, subtract the fractions:

$\frac{5p+9}{3-2p} - 4 = \frac{5p+9}{3-2p} - \frac{12-8p}{3-2p}$

$= \frac{5p+9-(12-8p)}{3-2p}$

$= \frac{5p+9-12+8p}{3-2p}$

$= \frac{13p-3}{3-2p}$

3. Final Answer

$\frac{13p-3}{3-2p}$