Let's solve the expression step by step:

Given expression: $-24 + \frac{72}{-12} - 2 \times (-3)$

1. Division: $\frac{72}{-12} = -6$ So the expression now becomes: $-24 + (-6) - 2 \times (-3)$

2. Multiplication: $-2 \times (-3) = 6$ Now, the expression is: $-24 + (-6) + 6$

3. Addition and Subtraction: $-24 + (-6) = -30$ $-30 + 6 = -24$

So, the final answer is $-24$.

Would you like further details or have any questions? Here are some related questions:

1. How do you handle operations with negative numbers?
2. What is the order of operations in a mathematical expression?
3. How do you simplify expressions with both positive and negative numbers?
4. Can division and multiplication affect the sign of a result?
5. How can the distributive property be used in similar problems?

Tip: Always follow the order of operations (PEMDAS/BODMAS) to avoid mistakes in calculations.