To solve the equation \( f = k(R - L) \) for \( k \), follow these steps:

1. **Isolate \( k \)**:
   \[
   f = k(R - L)
   \]
   Divide both sides of the equation by \( (R - L) \) to solve for \( k \):
   \[
   k = \frac{f}{R - L}
   \]

So, the solution for \( k \) is:
\[
k = \frac{f}{R - L}
\]

Would you like more details or have any questions?

Here are five related questions:
1. How would the equation change if you were solving for \( R \) instead of \( k \)?
2. What happens if \( R = L \) in the equation?
3. Can you solve for \( L \) given \( f = k(R - L) \)?
4. How does the equation behave if \( f = 0 \)?
5. How would you interpret \( k \) in a real-world scenario where \( R \) and \( L \) are known quantities?

**Tip:** Always check for cases where the denominator could be zero when solving for variables in a fraction.

Learn how to solve the linear equation f = k(R - L) to find the value of k. This problem involves isolating k in the equation and understanding the relationship between variables f, k, R, and L. Suitable for students in Grades 9-12.

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