$$5 ( p - 3 ) = 3 ( p - 2 )$$
$p = \frac{9}{2} = 4\frac{1}{2} = 4.5$
$$5p-15=3\left(p-2\right)$$
$$5p-15=3p-6$$
$$5p-15-3p=-6$$
$$2p-15=-6$$
$$2p=-6+15$$
$$2p=9$$
$$p=\frac{9}{2}$$
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