1. **State the problem:** Simplify the expression $$6(-0.3b - 5b + 3) - 4b$$. 2. **Use the distributive property:** Multiply 6 by each term inside the parentheses. $$6 \times (-0.3b) + 6 \times (-5b) + 6 \times 3 - 4b$$ 3. **Calculate each multiplication:** $$-1.8b - 30b + 18 - 4b$$ 4. **Combine like terms:** Add the coefficients of the terms with $b$. $$(-1.8b - 30b - 4b) + 18$$ 5. **Simplify the coefficients:** $$(-1.8 - 30 - 4)b + 18 = -35.8b + 18$$ **Final answer:** $$-35.8b + 18$$