Subjects algebra

Order Operations 765Fc3

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1. **State the problem:** Evaluate the expression $33 + 12 \div 2 \cdot (4 - 2 + 8)$. 2. **Apply the order of operations (PEMDAS/BODMAS):** Parentheses first, then division and multiplication from left to right, and finally addition. 3. Simplify inside the parentheses: $$4 - 2 + 8 = 2 + 8 = 10$$ 4. Substitute back into the expression: $$33 + 12 \div 2 \cdot 10$$ 5. Perform division and multiplication from left to right: $$12 \div 2 \cdot 10 = 6 \cdot 10 = 60$$ 6. Substitute back: $$33 + 60$$ 7. Perform the addition: $$33 + 60 = 93$$ **Final answer:** $93$