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Math

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PROBLEM

Calculate the expression using order of operations: 192(7171)=-1|-92-(-71-71)|=\square (Simplify your answer.)

STEP 1

Assumptions1. The expression is 192(7171)-1|-92-(-71-71)|
. We need to use the order of operations to solve this expression. The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to simplify the expression inside the parentheses.
92(7171)-92-(-71-71)

STEP 3

The expression inside the parentheses simplifies to 7171-71-71 which is 142-142. So the expression becomes192(142)-1|-92-(-142)|

STEP 4

Next, we need to simplify the expression inside the absolute value bars. This is 92(142)-92-(-142).

STEP 5

The subtraction inside the absolute value bars simplifies to 92+142-92+142 which is 5050. So the expression becomes150-1|50|

STEP 6

The absolute value of 5050 is 5050. So the expression becomes150-1*50

SOLUTION

Finally, multiplying 1-1 by 5050 gives us 50-50.
So, 192(7171)=50-1|-92-(-71-71)| = -50.

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