1. **State the problem:** Simplify the expression $9 - 3(9 - 3)$. 2. **Recall the order of operations:** Parentheses first, then multiplication, then addition/subtraction from left to right. 3. **Evaluate inside the parentheses:** $9 - 3 = 6$. So the expression becomes $9 - 3 \times 6$. 4. **Multiply:** $3 \times 6 = 18$. So the expression is now $9 - 18$. 5. **Subtract:** $9 - 18 = -9$. 6. **Final answer:** The simplified value of $9 - 3(9 - 3)$ is $-9$.