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2-\left(3+6+15-2\times 4\right)
Multiply 3 and 2 to get 6. Multiply 5 and 3 to get 15.
2-\left(9+15-2\times 4\right)
Add 3 and 6 to get 9.
2-\left(24-2\times 4\right)
Add 9 and 15 to get 24.
2-\left(24-8\right)
Multiply 2 and 4 to get 8.
2-16
Subtract 8 from 24 to get 16.
-14
Subtract 16 from 2 to get -14.