1. **State the problem:** Solve the equation $-9 + 4q = -9q + 4$ for $q$. 2. **Write down the equation:** $$-9 + 4q = -9q + 4$$ 3. **Goal:** Isolate $q$ on one side. 4. **Add $9q$ to both sides to bring all $q$ terms to the left:** $$4q + 9q - 9 = 4$$ which simplifies to $$13q - 9 = 4$$ 5. **Add 9 to both sides to isolate the $q$ term:** $$13q = 4 + 9$$ $$13q = 13$$ 6. **Divide both sides by 13 to solve for $q$:** $$q = \frac{13}{13} = 1$$ **Final answer:** $$q = 1$$