Let's evaluate the given expression step by step:

Expression:

$(-9) - (-8) + 2 \times 42(-3)^3 - 2 + \frac{8}{-8}$

Step 1: Simplify each term

1. Simplify $(-9) - (-8)$:

$-9 + 8 = -1$

2. Simplify $2 \times 42(-3)^3$:

• First, calculate $(-3)^3$: $(-3) \times (-3) \times (-3) = -27$
• Then, calculate $42 \times (-27)$: $42 \times (-27) = -1134$
• Finally, multiply by 2: $2 \times (-1134) = -2268$

3. Simplify $\frac{8}{-8}$:

$\frac{8}{-8} = -1$

Step 2: Substitute simplified terms back into the expression

The expression now becomes: $-1 + (-2268) - 2 + (-1)$

Step 3: Combine terms step by step

1. Add $-1 + (-2268)$: $-1 - 2268 = -2269$
2. Subtract 2: $-2269 - 2 = -2271$
3. Add $-1$: $-2271 - 1 = -2272$

Final Answer:

$\boxed{-2272}$

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Would you like a detailed explanation for any specific part of this process?

Related Questions:

1. How do you simplify expressions with multiple operations?
2. What is the order of operations, and why is it important?
3. Can you explain why $(-3)^3$ is negative?
4. How does division with negative numbers work?
5. Can you show examples of similar expressions to practice?

Tip: Always follow the order of operations (PEMDAS/BODMAS) to avoid errors in simplifying complex expressions.