1. **State the problem:** Solve for the variable $w$ in the equation $35 - 12w = 29$. 2. **Isolate the term with the variable:** Subtract 35 from both sides to get the term with $w$ alone on one side. $$35 - 12w - 35 = 29 - 35$$ $$\cancel{35} - 12w - \cancel{35} = -6$$ This simplifies to: $$-12w = -6$$ 3. **Solve for $w$:** Divide both sides by $-12$ to isolate $w$. $$\frac{-12w}{-12} = \frac{-6}{-12}$$ $$\cancel{-12}w / \cancel{-12} = \frac{-6}{-12}$$ $$w = \frac{1}{2}$$ 4. **Final answer:** The solution to the equation is $$w = \frac{1}{2}$$