1. **State the problem:** Solve the equation $$\frac{n}{7} + 7 = n$$ for the variable $n$. 2. **Formula and rules:** To solve for $n$, we want to isolate $n$ on one side of the equation. We can do this by eliminating fractions and combining like terms. 3. **Step 1: Eliminate the fraction by multiplying both sides by 7:** $$7 \times \left(\frac{n}{7} + 7\right) = 7 \times n$$ This simplifies to: $$n + 49 = 7n$$ 4. **Step 2: Move all terms involving $n$ to one side:** Subtract $n$ from both sides: $$49 = 7n - n$$ $$49 = 6n$$ 5. **Step 3: Solve for $n$ by dividing both sides by 6:** $$n = \frac{49}{6}$$ 6. **Final answer:** $$n = \frac{49}{6}$$ This is the solution to the equation.