Let's solve the expression step by step:

Expression:

$-4(-7 + 5)(-2) - |-2 - 5|$

Step 1: Simplify inside the parentheses and absolute value

First, simplify $(-7 + 5)$ and $(-2 - 5)$: $-7 + 5 = -2$ $-2 - 5 = -7$

Now, substitute these back into the expression: $-4(-2)(-2) - |-7|$

Step 2: Evaluate absolute value and multiplication

The absolute value of $-7$ is 7, and now we evaluate the multiplication: $-4(-2)(-2) = -4 \times (-2) \times (-2)$

Start with: $-4 \times (-2) = 8$ Then: $8 \times (-2) = -16$

Now substitute back: $-16 - 7$

Step 3: Final subtraction

$-16 - 7 = -23$

Final Answer:

$-23$

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the process for solving expressions with absolute values?
2. How do negative signs affect multiplication?
3. Can you explain more about the order of operations (PEMDAS)?
4. How do you simplify expressions with nested parentheses?
5. How does the distributive property work in expressions like these?

Tip: When solving complex expressions, always start with parentheses and absolute values before handling multiplication or addition.