1. **State the problem:** Simplify the expression $96 - 28 (1 - 6 \div 9) \times 22 - 8 \times 3$. 2. **Recall the order of operations (PEMDAS/BODMAS):** - Parentheses first - Exponents (none here) - Multiplication and Division from left to right - Addition and Subtraction from left to right 3. **Simplify inside the parentheses:** $$1 - 6 \div 9 = 1 - \frac{6}{9} = 1 - \frac{2}{3}$$ 4. **Calculate the subtraction inside the parentheses:** $$1 - \frac{2}{3} = \frac{3}{3} - \frac{2}{3} = \frac{1}{3}$$ 5. **Rewrite the expression with this result:** $$96 - 28 \times \frac{1}{3} \times 22 - 8 \times 3$$ 6. **Perform multiplication from left to right:** First multiply $28 \times \frac{1}{3}$: $$28 \times \frac{1}{3} = \frac{28}{3}$$ 7. **Next multiply $\frac{28}{3} \times 22$:** $$\frac{28}{3} \times 22 = \frac{28 \times 22}{3} = \frac{616}{3}$$ 8. **Rewrite the expression:** $$96 - \frac{616}{3} - 8 \times 3$$ 9. **Calculate $8 \times 3$:** $$8 \times 3 = 24$$ 10. **Rewrite the expression:** $$96 - \frac{616}{3} - 24$$ 11. **Convert whole numbers to fractions with denominator 3:** $$96 = \frac{288}{3}, \quad 24 = \frac{72}{3}$$ 12. **Rewrite the expression:** $$\frac{288}{3} - \frac{616}{3} - \frac{72}{3}$$ 13. **Combine all terms:** $$\frac{288 - 616 - 72}{3} = \frac{288 - 688}{3} = \frac{-400}{3}$$ 14. **Final answer:** $$-\frac{400}{3}$$ or approximately $-133.33$. This is the simplified value of the original expression.