The equation shown in the image is:

[ [-14 + (-23)] - [(17 - 2) \times 10] ]

Let's solve this step by step.

Step 1: Simplify the terms inside the brackets

1. The first bracket is: $-14 + (-23) = -14 - 23 = -37$

2. The second bracket contains: $17 - 2 = 15$ Then, multiply by $10$: $15 \times 10 = 150$

Step 2: Combine the results

Now substitute these values back into the equation: $-37 - 150$

Step 3: Perform the final subtraction

$-37 - 150 = -187$

Final Answer:

$\boxed{-187}$

Would you like further clarification or details on any of the steps?

Related Questions:

1. What is the importance of solving operations inside brackets first?
2. How does the order of operations (PEMDAS) affect this solution?
3. Can negative numbers within subtraction brackets cause confusion, and how can this be avoided?
4. How would this calculation change if one term were positive instead?
5. What are the applications of such calculations in real-world scenarios?

Tip:

Always simplify terms within brackets completely before performing operations outside them. This ensures accuracy and prevents errors.