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3-\left(2-\left(5+5-\left(6+3\right)\right)+1\right)
Add 1 and 4 to get 5.
3-\left(2-\left(10-\left(6+3\right)\right)+1\right)
Add 5 and 5 to get 10.
3-\left(2-\left(10-9\right)+1\right)
Add 6 and 3 to get 9.
3-\left(2-1+1\right)
Subtract 9 from 10 to get 1.
3-\left(1+1\right)
Subtract 1 from 2 to get 1.
3-2
Add 1 and 1 to get 2.
1
Subtract 2 from 3 to get 1.