1. **State the problem:** Solve the equation $-14w + 13w = -11$ for $w$. 2. **Combine like terms:** On the left side, combine $-14w$ and $13w$: $$-14w + 13w = (-14 + 13)w = -1w = -w$$ So the equation becomes: $$-w = -11$$ 3. **Isolate $w$:** Multiply both sides by $-1$ to solve for $w$: $$\cancel{-1} \times (-w) = \cancel{-1} \times (-11)$$ $$w = 11$$ 4. **Final answer:** $$w = 11$$ This means the value of $w$ that satisfies the equation is 11.