Let's simplify the given expression:
$4n - (7 - 6n)$

Step 1: Distribute the negative sign across the parentheses

$4n - 7 + 6n$

Step 2: Combine like terms

$(4n + 6n) - 7 = 10n - 7$

So, the simplified expression is: $\boxed{10n - 7}$

Would you like further details or have any questions about the process?

Here are 5 related questions to deepen your understanding:

1. What happens if you change the sign inside the parentheses?
2. How would you solve the equation if this expression equaled zero?
3. Can you apply this process to simplify $5x - (8 - 3x)$?
4. What if the negative sign were outside of more complex parentheses?
5. How do you solve equations involving multiple variables?

Tip: Always distribute carefully when working with parentheses to avoid sign errors.