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18-\left(2-\left(-3+1\right)\right)-3+1-\left(4-1\right)+1
Add -4 and 6 to get 2.
18-\left(2-\left(-2\right)\right)-3+1-\left(4-1\right)+1
Add -3 and 1 to get -2.
18-\left(2+2\right)-3+1-\left(4-1\right)+1
The opposite of -2 is 2.
18-4-3+1-\left(4-1\right)+1
Add 2 and 2 to get 4.
14-3+1-\left(4-1\right)+1
Subtract 4 from 18 to get 14.
11+1-\left(4-1\right)+1
Subtract 3 from 14 to get 11.
11+1-3+1
Subtract 1 from 4 to get 3.
11-2+1
Subtract 3 from 1 to get -2.
9+1
Subtract 2 from 11 to get 9.
10
Add 9 and 1 to get 10.