Let's simplify the expression $9(-6p - 4) + 3(3p - 5)$:

1. Distribute the $9$ to both terms inside the first parenthesis: $9 \times (-6p) + 9 \times (-4) = -54p - 36$

2. Distribute the $3$ to both terms inside the second parenthesis: $3 \times 3p + 3 \times (-5) = 9p - 15$

3. Now combine everything: $-54p - 36 + 9p - 15$

4. Combine like terms: $(-54p + 9p) + (-36 - 15) = -45p - 51$

So, the simplified expression is: $-45p - 51$

Would you like more details or have any questions about this?

Here are 5 related questions:

1. How do you factor expressions like the one we just simplified?
2. What are like terms, and how do you combine them?
3. Can you explain the distributive property in more depth?
4. How do we simplify expressions with multiple variables?
5. How do you solve an equation after simplifying an expression?

Tip: Always combine like terms (terms with the same variable and power) to make expressions simpler!