1. **State the problem:** Express $p$ in terms of $q$ from the equation $$9p + 8q - 3 = 0.$$\n\n2. **Isolate $p$:** To express $p$ in terms of $q$, we need to solve for $p$. Start by moving the terms involving $q$ and constants to the other side: $$9p = 3 - 8q.$$\n\n3. **Divide both sides by 9:** $$p = \frac{3 - 8q}{9}.$$\n\n4. **Simplify if possible:** The expression is already simplified.\n\n**Final answer:** $$p = \frac{3 - 8q}{9}.$$