Evaluate the magnitude of $| 3 | + | - 2 - 3 | - 3 - | - 7 |$

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Solution

$| 3 | + | - 2 - 3 | - 3 - | - 7 | = 3 + | 5 | - 3 - {- 3 - (- 7)} = 3 + {- (- 5)} - 3 - 7 = 3 + 5 - 10 = 8 - 10 = - 2.$
So magnitude of the given expression is $2$ .

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