1. **State the problem:** Simplify the expression $$4(fg + 3g) + 5g$$. 2. **Apply the distributive property:** Multiply 4 by each term inside the parentheses: $$4 \times fg + 4 \times 3g = 4fg + 12g$$ 3. **Rewrite the expression:** Now the expression is: $$4fg + 12g + 5g$$ 4. **Combine like terms:** The terms $$12g$$ and $$5g$$ are like terms because they both contain $$g$$. Add their coefficients: $$12g + 5g = (12 + 5)g = 17g$$ 5. **Final simplified expression:** $$4fg + 17g$$ This is the simplest form because $$4fg$$ and $$17g$$ are not like terms and cannot be combined further.