Let's solve the expression step by step:

Given:
$4 - 5(-4n + 3)$

1. First, distribute the $-5$ to each term inside the parentheses: $4 - 5(-4n) + 5(3)$ This simplifies to: $4 + 20n - 15$

2. Now combine the constants $4$ and $-15$: $(4 - 15) + 20n = -11 + 20n$

Thus, the simplified expression is: $-11 + 20n$

Would you like further details on any part of the process?

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Here are 5 related questions to expand the topic:

1. How would you solve an equation involving this expression, such as $4 - 5(-4n + 3) = 10$?
2. What happens if the sign in front of the $5$ is positive instead of negative?
3. How do you solve for $n$ in an equation like $-11 + 20n = 25$?
4. How do you distribute a negative number in general (e.g., $-3(a + b)$)?
5. How do you simplify expressions with multiple terms involving $n$?

Tip: Always carefully distribute terms when there are parentheses, and combine like terms afterward!