1. **State the problem:** Solve the equation $r + \frac{r}{r} = 7$ for $r$. 2. **Understand the equation:** The term $\frac{r}{r}$ simplifies to 1 for all $r \neq 0$ because any nonzero number divided by itself is 1. 3. **Rewrite the equation:** Substitute $\frac{r}{r}$ with 1: $$r + 1 = 7$$ 4. **Isolate $r$:** Subtract 1 from both sides: $$r + 1 - 1 = 7 - 1$$ $$r = 6$$ 5. **Check for restrictions:** Since $r$ cannot be zero (division by zero is undefined), and $r=6$ is valid, this is the solution. **Final answer:** $$r = 6$$