1. **State the problem:** Evaluate the expression $84(12-5)\cdot 2 + 4$. 2. **Apply the order of operations (PEMDAS/BODMAS):** - Parentheses first - Multiplication and division from left to right - Addition and subtraction from left to right 3. **Calculate inside the parentheses:** $$12 - 5 = 7$$ 4. **Substitute back into the expression:** $$84 \times 7 \cdot 2 + 4$$ 5. **Perform multiplication from left to right:** $$84 \times 7 = 588$$ 6. **Continue multiplication:** $$588 \cdot 2 = 1176$$ 7. **Add the remaining term:** $$1176 + 4 = 1180$$ **Final answer:** $$1180$$