1. **State the problem:** Expand and simplify the expression $2(w - 1) + 5(2w + 3)$. 2. **Use the distributive property:** Multiply each term inside the parentheses by the factor outside. $$2(w - 1) = 2 \times w - 2 \times 1 = 2w - 2$$ $$5(2w + 3) = 5 \times 2w + 5 \times 3 = 10w + 15$$ 3. **Combine the expanded parts:** $$2w - 2 + 10w + 15$$ 4. **Group like terms:** $$ (2w + 10w) + (-2 + 15)$$ 5. **Simplify each group:** $$12w + 13$$ **Final answer:** $$\boxed{12w + 13}$$