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.

Learn how to simplify the algebraic expression 4n - (7 - 6n) using the distributive property and combining like terms. This step-by-step solution is designed for students in Grades 6-8 and covers key algebraic concepts.

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