1. **Simplify the expression** $-9(1 - 10n) - 2(3n + 9)$. 2. **Distribute** the constants inside the parentheses: $$-9 \times 1 + (-9) \times (-10n) - 2 \times 3n - 2 \times 9$$ which simplifies to $$-9 + 90n - 6n - 18$$ 3. **Combine like terms**: $$90n - 6n = 84n$$ and $$-9 - 18 = -27$$ So the expression becomes $$84n - 27$$ --- **Answer:** The simplified expression is $84n - 27$. --- Since the user asked multiple questions, but per instructions, only the first problem is solved here.