The problem asks to use the distributive property to rewrite the expression $8(3m + 4)$.

Using the distributive property, we multiply 8 by both terms inside the parentheses:

$8(3m + 4) = (8 \cdot 3m) + (8 \cdot 4)$

Simplifying:

$8(3m + 4) = 24m + 32$

So, the answer is:

$\boxed{24}m + \boxed{32}$

Would you like further clarification on this? Here are five related questions:

1. What happens when you apply the distributive property to subtraction?
2. How does the distributive property work with negative numbers?
3. Can you factor out a common factor using the reverse of the distributive property?
4. How would you apply the distributive property if there were three terms inside the parentheses?
5. How does the distributive property relate to solving equations?

Tip: The distributive property is useful for simplifying expressions and solving equations, especially when dealing with parentheses.