Let's solve the equation:

\[
15 = \frac{n}{-2} + 6
\]

### Step 1: Isolate the term with \( n \)
Subtract 6 from both sides of the equation:
\[
15 - 6 = \frac{n}{-2}
\]
\[
9 = \frac{n}{-2}
\]

### Step 2: Solve for \( n \)
To eliminate the fraction, multiply both sides by -2:
\[
9 \times (-2) = n
\]
\[
n = -18
\]

Thus, the solution is \( n = -18 \).

Would you like further details on this solution?

Here are 5 related questions to explore:
1. What happens if \( n \) is divided by a positive number instead of a negative one?
2. How would the solution change if the 6 on the right side was negative?
3. Can you solve \( n/3 + 8 = 20 \)?
4. How do you check if your solution is correct in this equation?
5. What if the equation was written as \( 15 = \frac{-n}{2} + 6 \)?

**Tip:** When solving equations with fractions, it's often easiest to eliminate the fraction early by multiplying both sides by the denominator.

Learn how to solve the linear equation 15 = n/-2 + 6 with step-by-step instructions. This solution covers algebraic concepts such as isolating variables and inverse operations. Perfect for students in Grades 6-8.

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