Subjects algebra

Simplify Expression D39Dfd

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1. **State the problem:** Simplify the expression $$2(6-2)2 \div 2 - 7$$. 2. **Apply the order of operations (PEMDAS/BODMAS):** Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). 3. **Calculate inside the parentheses:** $$6 - 2 = 4$$. 4. **Substitute back:** $$2 \times 4 \times 2 \div 2 - 7$$. 5. **Perform multiplication and division from left to right:** $$2 \times 4 = 8$$ $$8 \times 2 = 16$$ $$16 \div 2 = 8$$ 6. **Subtract 7:** $$8 - 7 = 1$$ **Final answer:** $$1$$