How do you Simplify this expression

-12 : 3 x (-8 + (-8) - 6) + 2

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The expression must be simplified using the order of operations. In this case, the terms inside the parenthesis should be simplified first. Within the parenthesis, there is a nested parenthetical term, which is simplified before the rest of the term inside the parenthesis. The + (-8) term simplifies to - 8. The terms inside the parenthesis then become (-8-8-6), which is equal to - 22. Then, multiplication and division are performed next, in order as they appear. So - 12/3 is equal to - 4. Then, - 4 is multiplied by the - 22 from the parenthetical expression to equal 88. Then, addition and subtraction are the final steps in the order of operations, so the 2 is added to the 88, for a total of 90.

Use the order of operations in order to simplify (solve) the expression

-12 : 3 x (-8 + (-8) - 6) + 2 Original expression

-12 : 3 x (-16 - 6) + 2 Inside the parenthesis do the addition of the first negatives. - 8 + - 8 = - 16

-12 : 3 x (-22) + 2 Inside the parenthesis subtract - 16-6 = - 22

-4 x (-22) + 2 Multiplication and division is worked from left to right. - 12 divided by 3 is - 4

88 + 2 Multiply - 4 x - 22 = 88. Two negatives make a positive with multiplication.

90 Addition 88 + 2 = 90