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-18-\left(-27-\left(9-\left(-2\right)\right)-7\times 4+15\right)-31
Subtract 10 from 19 to get 9.
-18-\left(-27-\left(9+2\right)-7\times 4+15\right)-31
The opposite of -2 is 2.
-18-\left(-27-11-7\times 4+15\right)-31
Add 9 and 2 to get 11.
-18-\left(-38-7\times 4+15\right)-31
Subtract 11 from -27 to get -38.
-18-\left(-38-28+15\right)-31
Multiply -7 and 4 to get -28.
-18-\left(-66+15\right)-31
Subtract 28 from -38 to get -66.
-18-\left(-51\right)-31
Add -66 and 15 to get -51.
-18+51-31
The opposite of -51 is 51.
33-31
Add -18 and 51 to get 33.
2
Subtract 31 from 33 to get 2.