1. **State the problem:** Simplify the expression $3(-3)-4-5(-3)2^2$. 2. **Recall order of operations:** Calculate exponents first, then multiplication and division from left to right, and finally addition and subtraction from left to right. 3. **Calculate the exponent:** $$2^2 = 4$$ 4. **Substitute back:** $$3(-3) - 4 - 5(-3) \times 4$$ 5. **Calculate each multiplication:** $$3 \times (-3) = -9$$ $$5 \times (-3) = -15$$ 6. **Substitute these values:** $$-9 - 4 - (-15) \times 4$$ 7. **Calculate the remaining multiplication:** $$-15 \times 4 = -60$$ 8. **Substitute:** $$-9 - 4 - (-60)$$ 9. **Simplify the subtraction of a negative:** $$-9 - 4 + 60$$ 10. **Perform the addition and subtraction from left to right:** $$(-9 - 4) + 60 = -13 + 60 = 47$$ **Final answer:** $$47$$