1. **State the problem:** Solve the equation $-3w + 2 = -4$ for $w$. 2. **Isolate the term with $w$:** Subtract 2 from both sides to get: $$-3w + 2 - 2 = -4 - 2$$ which simplifies to $$-3w = -6$$ 3. **Solve for $w$:** Divide both sides by $-3$: $$w = \frac{-6}{-3}$$ Show canceling common factors: $$w = \frac{\cancel{-6}}{\cancel{-3}} = 2$$ 4. **Final answer:** $$w = 2$$ This means the value of $w$ that satisfies the equation is 2.