1. **State the problem:** Simplify the expression $$(3f - 7)(5)$$. 2. **Use the distributive property:** Multiply each term inside the parentheses by 5. 3. **Apply multiplication:** $$5 \times 3f = 15f$$ $$5 \times (-7) = -35$$ 4. **Combine the results:** $$15f - 35$$ 5. **Final simplified expression:** $$15f - 35$$ This means the expression $(3f - 7)(5)$ simplifies to $15f - 35$ by distributing the 5 to both terms inside the parentheses.