Let's break it down step by step:

1. Inside the parentheses:
   $6 - 1 + 2 = 7$

2. Now multiply by 24:
   $24 \times 7 = 168$

So, the result of $24(6 - 1 + 2)$ is 168.

Would you like more details or have any questions about the process?
Here are some related questions to explore:

1. What happens if we change the order of operations in an expression like this?
2. How do we handle negative numbers in parentheses?
3. What is the distributive property, and how does it relate to this problem?
4. How do you solve expressions involving both multiplication and addition?
5. What are some real-world applications of this type of math?

Tip: Always remember to simplify inside parentheses first, then proceed with multiplication and addition!