Let's solve the expression step by step:

Given expression:
$(-3)^3 - 2(-3)^2 + 5(-3) - 7$

Step 1: Calculate $(-3)^3$

$(-3)^3 = -27$

Step 2: Calculate $(-3)^2$

$(-3)^2 = 9$ Now substitute it back into the expression: $-27 - 2(9) + 5(-3) - 7$

Step 3: Simplify the terms

$-27 - 18 + (-15) - 7$

Step 4: Combine the terms

$-27 - 18 - 15 - 7 = -67$

So, the final answer is: $\boxed{-67}$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you calculate powers of negative numbers?
2. Why does $(-3)^2$ become positive, but $(-3)^3$ remains negative?
3. How do parentheses affect operations in an expression?
4. What are some tips for simplifying multi-term expressions like this?
5. Can you provide more examples involving negative numbers and powers?

Tip: Always apply exponents and distribute terms carefully to avoid mistakes with signs!