The problem is to solve the equation $p = 2q - 3r$ for $q$. We need to isolate $q$ and express it in terms of $p$ and $r$.

1. Problem Description

The problem is to solve the equation $p = 2q - 3r$ for $q$. We need to isolate $q$ and express it in terms of $p$ and $r$.

2. Solution Steps

We are given the equation:

$p = 2q - 3r$

Our goal is to isolate $q$. First, add $3r$ to both sides of the equation:

$p + 3r = 2q - 3r + 3r$

$p + 3r = 2q$

Now, divide both sides of the equation by 2:

$\frac{p + 3r}{2} = \frac{2q}{2}$

$\frac{p + 3r}{2} = q$

Therefore, $q = \frac{p + 3r}{2}$

3. Final Answer

$q = \frac{p + 3r}{2}$

The answer is (c).