Let's evaluate the expression step-by-step to see if we get the result:

$8 \div (8 - (7 - 4)) = ?$

Step 1: Evaluate the innermost parentheses

Calculate $7 - 4$: $7 - 4 = 3$ So, the expression becomes: $8 \div (8 - 3)$

Step 2: Evaluate the next parentheses

Calculate $8 - 3$: $8 - 3 = 5$ Now we have: $8 \div 5$

Step 3: Perform the division

Calculate $8 \div 5$: $8 \div 5 = 1.6$

Conclusion

The result of the expression $8 \div (8 - (7 - 4))$ is $1.6$, not $24$.

There may have been an error in the setup or a different intended grouping of terms. Let me know if you'd like help with any adjustments to the problem setup!

Would you like further details or have any questions?

Here are some related questions to expand on this topic:

1. How does order of operations (PEMDAS) affect calculations?
2. How would you adjust an expression to get a different result?
3. What happens if you change division to multiplication in this expression?
4. Are there other expressions that can yield 24?
5. How do parentheses change the outcome of complex expressions?

Tip: Always double-check the placement of parentheses, as they change the order of operations significantly.