Let's break down the expression step by step:

$-3 - (-2)(5) - (-4)^3$

1. First, handle the multiplication: $(-2)(5) = -10$ Now the expression becomes: $-3 - (-10) - (-4)^3$

2. Next, handle the exponentiation: $(-4)^3 = (-4) \times (-4) \times (-4) = -64$ Now the expression becomes: $-3 - (-10) - (-64)$

3. Next, simplify the signs: $-3 + 10 + 64$

4. Finally, do the addition: $-3 + 10 = 7$ $7 + 64 = 71$

So, the result is:

$\boxed{71}$

Would you like further clarification on any part of this, or have any additional questions?

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Here are some related questions for you:

1. What is the result of $(-2)^3$?
2. How do the order of operations affect the evaluation of expressions like this?
3. Can you explain the difference between multiplying by a negative and subtracting a negative?
4. How would you solve an expression with multiple exponents?
5. What would happen if the base of $(-4)^3$ was positive instead of negative?

Tip: Always remember to deal with operations inside parentheses first, and then follow the order of operations (PEMDAS).