Let's simplify the expression step by step:

$-4h - 7(-5h - 4)$

1. Distribute $-7$ to $-5h - 4$:

$-4h + 35h + 28$

2. Combine like terms:

$(35h - 4h) + 28 = 31h + 28$

So, the simplified expression is:

$31h + 28$

Would you like more details or have any questions?

Here are some related questions:

1. How do you combine like terms in algebraic expressions?
2. What is the distributive property in algebra?
3. How do you simplify expressions with variables?
4. What are the rules for dealing with negative signs in algebra?
5. How do you handle parentheses in algebraic expressions?

Tip: Always distribute the multiplier to every term inside parentheses to simplify expressions.