1. **State the problem:** Solve for $c$ in the equation $3c = 0$. 2. **Formula and rules:** To isolate $c$, divide both sides of the equation by 3. The rule is that dividing both sides of an equation by the same nonzero number keeps the equation balanced. 3. **Intermediate work:** $$3c = 0$$ Divide both sides by 3: $$\frac{3c}{3} = \frac{0}{3}$$ Simplify: $$c = 0$$ 4. **Explanation:** Since multiplying $c$ by 3 gives 0, the only value for $c$ that satisfies this is 0. **Final answer:** $c = 0$