d. \( \frac{8}{m+5} \cdot m+5 \)

When you see \( \frac{8}{m+5} \cdot (m+5) \), it's like a mini algebra party! The expression simplifies beautifully because the \( m+5 \) in the numerator and denominator cancel each other out, provided \( m \neq -5 \). So, you’re left with just 8! It’s a nifty little trick that shows how manipulating algebraic fractions can lead to simplified answers. Now, as you practice more with expressions, one common mistake is forgetting about those restrictions we talked about, such as \( m \neq -5 \). If you accidentally plug -5 back into your equation, you’ll hit a division by zero—yikes! Always check for restrictions to keep your math smooth and error-free.