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14-\left(34-\left(90-55-42\right)+82\right)+-72-\left(-24\right)
Add 62 and 28 to get 90.
14-\left(34-\left(35-42\right)+82\right)+-72-\left(-24\right)
Subtract 55 from 90 to get 35.
14-\left(34-\left(-7\right)+82\right)+-72-\left(-24\right)
Subtract 42 from 35 to get -7.
14-\left(34+7+82\right)+-72-\left(-24\right)
The opposite of -7 is 7.
14-\left(41+82\right)+-72-\left(-24\right)
Add 34 and 7 to get 41.
14-123+-72-\left(-24\right)
Add 41 and 82 to get 123.
-109+-72-\left(-24\right)
Subtract 123 from 14 to get -109.
-109-72+24
The opposite of -24 is 24.
-109-48
Add -72 and 24 to get -48.
-157
Subtract 48 from -109 to get -157.