To solve the equation \( \frac{1}{2}(n + 4) = 6 \), follow these steps:

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 2 to get rid of the fraction:
\[
2 \times \frac{1}{2}(n + 4) = 2 \times 6
\]
This simplifies to:
\[
n + 4 = 12
\]

### Step 2: Solve for \( n \)
Now subtract 4 from both sides to isolate \( n \):
\[
n = 12 - 4
\]
\[
n = 8
\]

So, the solution is \( n = 8 \).

Would you like further details on solving equations like this, or do you have any questions?

### Related Questions:
1. How do you solve equations involving fractions?
2. How do you check if your solution to an equation is correct?
3. What happens if you have a different fraction in the equation, like \( \frac{3}{4} \)?
4. How do you solve equations with variables on both sides?
5. How do you solve inequalities with fractions?

### Tip:
Always simplify an equation step by step and check your solution by substituting it back into the original equation.

Learn how to solve the linear equation 1/2(n + 4) = 6 with a detailed step-by-step solution. This problem covers key algebraic concepts, including properties of equality and the elimination of fractions. Suitable for students in Grades 6-8.

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