1. **State the problem:** Solve the equation $4 = \frac{r}{7 - 3}$ for $r$. 2. **Understand the equation:** The right side is a fraction with numerator $r$ and denominator $7 - 3$. 3. **Simplify the denominator:** Calculate $7 - 3$. $$7 - 3 = 4$$ 4. **Rewrite the equation:** Substitute the simplified denominator back. $$4 = \frac{r}{4}$$ 5. **Solve for $r$:** Multiply both sides by 4 to isolate $r$. $$4 \times 4 = \cancel{4} \times \frac{r}{\cancel{4}}$$ $$16 = r$$ 6. **Final answer:** $$r = 16$$