1. **State the problem:** Simplify the expression $11(3g+7-2g)-4$. 2. **Apply the distributive property:** Multiply $11$ by each term inside the parentheses. $$11(3g) + 11(7) - 11(2g) - 4$$ 3. **Calculate each multiplication:** $$33g + 77 - 22g - 4$$ 4. **Combine like terms:** Combine $33g$ and $-22g$, and combine constants $77$ and $-4$. $$33g - 22g + 77 - 4 = (33 - 22)g + (77 - 4)$$ 5. **Simplify:** $$11g + 73$$ **Final answer:** $11g + 73$