1. **State the problem:** Solve for $w$ in the equation $1.74 = w - 3.68$. 2. **Formula and rule:** To isolate $w$, add $3.68$ to both sides of the equation to cancel out the $-3.68$ on the right side. 3. **Intermediate work:** $$1.74 + 3.68 = w - 3.68 + 3.68$$ $$1.74 + 3.68 = w$$ 4. **Simplify:** $$w = 5.42$$ 5. **Explanation:** Adding $3.68$ to both sides keeps the equation balanced and isolates $w$ on one side, giving the solution $w = 5.42$. **Final answer:** $w = 5.42$