1. **State the problem:** Solve the equation $$\frac{2}{3}w - \frac{2}{3} = 0$$ for $w$. 2. **Formula and rules:** To solve for $w$, we want to isolate $w$ on one side of the equation. We can do this by adding or subtracting terms and then dividing or multiplying both sides by a number. Remember, whatever you do to one side, you must do to the other. 3. **Add $\frac{2}{3}$ to both sides:** $$\frac{2}{3}w - \frac{2}{3} + \frac{2}{3} = 0 + \frac{2}{3}$$ which simplifies to $$\frac{2}{3}w = \frac{2}{3}$$ 4. **Divide both sides by $\frac{2}{3}$ to isolate $w$:** $$w = \frac{\frac{2}{3}}{\frac{2}{3}}$$ 5. **Simplify the fraction:** $$w = \cancel{\frac{2}{3}} \div \cancel{\frac{2}{3}} = 1$$ 6. **Final answer:** $$w = 1$$ This means the value of $w$ that satisfies the equation is 1.