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To solve for \( p \) in terms of \( q \) and \( r \), we start with the given equation:

\[
q = -\frac{p}{r}
\]

### Step-by-step solution:

1. **Multiply both sides by \( r \)** to isolate \( p \):
   \[
   q \cdot r = -p
   \]

2. **Multiply both sides by \(-1\)** to solve for \( p \):
   \[
   p = -q \cdot r
   \]

### Final answer:
\[
p = -qr
\]

Would you like further details on this solution? 

Here are five related questions to expand on this:

1. What happens if \( r = 0 \) in this equation?
2. How would the solution change if \( p \) was squared in the original equation?
3. Can you solve for \( r \) in terms of \( p \) and \( q \) from the same equation?
4. What are the implications of the negative sign in the equation?
5. How does this equation relate to direct variation problems?

**Tip**: When solving for a variable, always check if there are any restrictions (like division by zero) that might affect the solution.

Solve for p in terms of q and r. q = -p/r

Learn how to solve the algebraic equation q = -p/r for p in terms of q and r. This problem covers key algebraic concepts and step-by-step solutions. Suitable for students in Grades 8-10.

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