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2\left(-2\right)+4\left(-2\right)-3
The opposite of -2 is 2.
-4+4\left(-2\right)-3
Multiply 2 and -2 to get -4.
-4-8-3
Multiply 4 and -2 to get -8.
-12-3
Subtract 8 from -4 to get -12.
-15
Subtract 3 from -12 to get -15.