1. **State the problem:** Solve for $n$ in the equation $-7 + n = 5$. 2. **Formula and rules:** To isolate $n$, add 7 to both sides of the equation to cancel out $-7$ on the left side. 3. **Intermediate work:** $$-7 + n = 5$$ Add 7 to both sides: $$\cancel{-7} + n + 7 = 5 + 7$$ Simplifies to: $$n = 12$$ 4. **Explanation:** Adding 7 to both sides keeps the equation balanced and removes the $-7$ from the left side, leaving $n$ alone. The right side becomes $5 + 7 = 12$. 5. **Final answer:** $$n = 12$$