To make 14 using the numbers 3, 7, 7, and 8, you can use the following operation:

$8 + 7 - (7 - 3) = 14$

Explanation:

1. Start by subtracting 7 from 3: $7 - 3 = 4$.
2. Then subtract this result from the other 7: $7 - 4 = 3$.
3. Finally, add this result to 8: $8 + 3 = 14$.

Would you like further details or have any questions? Here are 8 related questions to expand your understanding:

1. Can you make 14 using other combinations of operations with these numbers?
2. How would you approach making 15 with the same numbers?
3. What other totals can you achieve using 3, 7, 7, and 8?
4. How does the order of operations affect the result in this problem?
5. Could you make 14 if one of the numbers was different, like 2 instead of 3?
6. How many different ways can you make 10 using these numbers?
7. What is the maximum total you can achieve with these numbers?
8. How does using parentheses affect the calculations?

Tip: Remember, the order of operations (PEMDAS) is crucial in problems involving multiple operations. Always clarify the order when combining different mathematical operations.