1. **State the problem:** Simplify and solve the equation $\frac{r+r}{r} = 7$ for $r$. 2. **Write the formula and rules:** The expression $\frac{r+r}{r}$ means the sum of $r$ and $r$ divided by $r$. We can simplify the numerator first. 3. **Simplify the numerator:** $r + r = 2r$, so the equation becomes: $$\frac{2r}{r} = 7$$ 4. **Simplify the fraction:** Since $r \neq 0$, we can cancel $r$ in numerator and denominator: $$\frac{\cancel{2r}}{\cancel{r}} = 7 \implies 2 = 7$$ 5. **Analyze the result:** The simplification leads to $2 = 7$, which is a contradiction. 6. **Conclusion:** There is no value of $r$ that satisfies the equation. The equation has no solution.