1. **State the problem:** Simplify the expression $$-7(-3t + 5) + 4t$$. 2. **Use the distributive property:** Multiply $$-7$$ by each term inside the parentheses. $$-7 \times -3t = 21t$$ $$-7 \times 5 = -35$$ So the expression becomes: $$21t - 35 + 4t$$ 3. **Combine like terms:** Add the terms with $$t$$. $$21t + 4t = 25t$$ 4. **Write the simplified expression:** $$25t - 35$$ **Final answer:** $$25t - 35$$