1. The problem is to solve the equation $$\frac{\cap \times n + n}{\cap} = 10$$ for $n$. 2. First, recognize that $\cap$ is a variable (let's call it $c$ for clarity). The equation becomes $$\frac{c n + n}{c} = 10$$. 3. Factor $n$ out of the numerator: $$\frac{n(c + 1)}{c} = 10$$. 4. Multiply both sides by $c$ to eliminate the denominator: $$n(c + 1) = 10 c$$. 5. Solve for $n$ by dividing both sides by $(c + 1)$: $$n = \frac{10 c}{c + 1}$$. 6. This is the expression for $n$ in terms of $c$ (or $\cap$).