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-\left(16-\left(-34\right)-\left(-1-\left(-21\right)-|-32|\right)\right)
Subtract 15 from -19 to get -34.
-\left(16+34-\left(-1-\left(-21\right)-|-32|\right)\right)
The opposite of -34 is 34.
-\left(50-\left(-1-\left(-21\right)-|-32|\right)\right)
Add 16 and 34 to get 50.
-\left(50-\left(-1+21-|-32|\right)\right)
The opposite of -21 is 21.
-\left(50-\left(20-|-32|\right)\right)
Add -1 and 21 to get 20.
-\left(50-\left(20-32\right)\right)
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -32 is 32.
-\left(50-\left(-12\right)\right)
Subtract 32 from 20 to get -12.
-\left(50+12\right)
The opposite of -12 is 12.
-62
Add 50 and 12 to get 62.