The equation you have is:

\[
|n + 4| = 4
\]

To solve this, we need to consider the two possible cases that arise from the definition of absolute value:

### Case 1: 
\( n + 4 = 4 \)

Subtracting 4 from both sides:

\[
n = 0
\]

### Case 2: 
\( n + 4 = -4 \)

Subtracting 4 from both sides:

\[
n = -8
\]

### Solutions:
Thus, the solutions to the equation are:

\[
n = 0 \quad \text{or} \quad n = -8
\]

Would you like more details on how absolute value equations work or have any questions?

### Related Questions:
1. How do you solve more complex absolute value equations?
2. Can absolute values ever have no solution?
3. How can absolute values be used in inequalities?
4. What happens if the absolute value equals a negative number?
5. Can you graph absolute value equations to see their solutions visually?

### Tip:
Always check both cases in absolute value equations to ensure you capture all possible solutions!

Learn how to solve the absolute value equation |n + 4| = 4 with step-by-step instructions. This problem covers key algebraic concepts like absolute value equations and understanding two possible solutions. Suitable for students in Grades 6-8.

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