1. **State the problem:** Solve the equation $1 - w = 195$ for $w$. 2. **Recall the additive property of equality:** You can add or subtract the same number from both sides of an equation without changing the equality. 3. **Isolate $w$:** Subtract 1 from both sides to move the constant term away from $w$. $$1 - w - 1 = 195 - 1$$ 4. **Simplify both sides:** $$\cancel{1} - w - \cancel{1} = 194$$ which simplifies to $$-w = 194$$ 5. **Solve for $w$:** Multiply both sides by $-1$ to get $w$ positive. $$-1 \times (-w) = -1 \times 194$$ $$w = -194$$ **Final answer:** $$w = -194$$