1. **State the problem:** Solve the equation $2k=0$ for $k$. 2. **Formula and rules:** To solve for $k$, we want to isolate $k$ on one side of the equation. Since $k$ is multiplied by 2, we divide both sides by 2. 3. **Intermediate work:** $$2k=0$$ Divide both sides by 2: $$\frac{\cancel{2}k}{\cancel{2}}=\frac{0}{2}$$ 4. **Simplify:** $$k=0$$ 5. **Explanation:** Dividing both sides by 2 cancels the 2 on the left side, leaving $k$ alone. Zero divided by any nonzero number is zero, so $k=0$. **Final answer:** $k=0$