1. **Stating the problem:** We are given the equation $0 = 5k_n$ and need to find the value of $k_n$. 2. **Formula and rules:** The equation is a simple linear equation. To solve for $k_n$, we isolate it on one side of the equation. 3. **Intermediate work:** Starting with $$0 = 5k_n$$ Divide both sides by 5 (since 5 is not zero, division is valid): $$\frac{0}{5} = \frac{5k_n}{5}$$ Simplifies to: $$0 = k_n$$ 4. **Explanation:** Since multiplying $k_n$ by 5 gives 0, the only number that satisfies this is 0 itself. **Final answer:** $$k_n = 0$$