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-8-4\times 4+3-2
Multiply -2 and 4 to get -8. Multiply 2 and -2 to get -4.
-8-16+3-2
Multiply -4 and 4 to get -16.
-24+3-2
Subtract 16 from -8 to get -24.
-21-2
Add -24 and 3 to get -21.
-23
Subtract 2 from -21 to get -23.