1. **State the problem:** Solve the equation $$\sqrt{n} + 10 + 2 + \sqrt{n} - 5 = 0$$ for $n$. 2. **Simplify the equation:** Combine like terms. $$\sqrt{n} + \sqrt{n} + 10 + 2 - 5 = 0$$ $$2\sqrt{n} + 7 = 0$$ 3. **Isolate the square root term:** $$2\sqrt{n} = -7$$ 4. **Divide both sides by 2:** $$\cancel{2}\sqrt{n} = \frac{-7}{\cancel{2}}$$ $$\sqrt{n} = -\frac{7}{2}$$ 5. **Analyze the result:** The square root of a real number $n$ cannot be negative. Therefore, there is no real solution to this equation. 6. **Conclusion:** The equation has no real solutions because $\sqrt{n}$ cannot equal a negative number. **Final answer:** No real solution.