1. **State the problem:** Simplify the expression $$[-4+9(-4)]:(-3+11)-7\cdot(5-14)$$. 2. **Recall the order of operations:** Parentheses first, then multiplication and division from left to right, and finally addition and subtraction. 3. **Simplify inside the brackets and parentheses:** - Calculate $9(-4) = -36$. - So, $-4 + 9(-4) = -4 - 36 = -40$. - Calculate $-3 + 11 = 8$. - Calculate $5 - 14 = -9$. 4. **Rewrite the expression with these values:** $$\frac{-40}{8} - 7 \cdot (-9)$$ 5. **Simplify the division:** $$\frac{-40}{8} = -5$$ 6. **Simplify the multiplication:** $$7 \cdot (-9) = -63$$ 7. **Rewrite the expression:** $$-5 - (-63)$$ 8. **Subtracting a negative is adding:** $$-5 + 63 = 58$$ **Final answer:** $$58$$