Subjects algebra

Expression Evaluation 39919C

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1. Stating the problem: Calculate the value of the expression $$(3-3) \cdot 5 - [2 - 4 \cdot (4 + 3) + 2] \cdot 3$$. 2. Apply the order of operations (parentheses, multiplication, addition/subtraction). 3. Simplify inside the parentheses first: $$3-3=0$$ $$4+3=7$$ 4. Substitute back: $$0 \cdot 5 - [2 - 4 \cdot 7 + 2] \cdot 3$$ 5. Calculate multiplication inside the brackets: $$4 \cdot 7 = 28$$ 6. Substitute: $$0 - [2 - 28 + 2] \cdot 3$$ 7. Simplify inside the brackets: $$2 - 28 + 2 = (2 + 2) - 28 = 4 - 28 = -24$$ 8. Substitute: $$0 - (-24) \cdot 3$$ 9. Multiply: $$-24 \cdot 3 = -72$$ 10. Substitute: $$0 - (-72) = 0 + 72 = 72$$ Final answer: $$72$$