1. **State the problem:** Simplify the expression $$\frac{n \times n + n}{n} = 10$$ and find the value of $n$. 2. **Write the formula and rules:** The expression is a fraction where the numerator is $n \times n + n$ and the denominator is $n$. We can simplify by factoring and dividing. 3. **Simplify the numerator:** $$n \times n + n = n^2 + n$$ 4. **Factor the numerator:** $$n^2 + n = n(n + 1)$$ 5. **Rewrite the fraction:** $$\frac{n(n + 1)}{n} = 10$$ 6. **Simplify the fraction by canceling $n$ (assuming $n \neq 0$):** $$n + 1 = 10$$ 7. **Solve for $n$:** $$n = 10 - 1$$ 8. **Calculate the final value:** $$n = 9$$ **Answer:** The value of $n$ is $$9$$.