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Mathematics - Algebra - Order of Operations

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What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right? Write an expression which can be simplified using at least three of the following:

Groupings (parenthesis, brackets, or braces)

Exponents

Multiplication or division

Addition or subtraction

Also, I need help with solving this problem:
2(2-3)^3+6/3+(8-5)

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