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Step-by-step simplification of a complex number expression, confirming the result -1 + i.

A mathematical equation showing the simplification of the expression ((-2)/(1+i)) * ((1-i)/(1-i)) resulting in -1 + i, with a green checkmark indicating correctness.

A mathematical equation showing the simplification of the expression ((-2)/(1+i)) * ((1-i)/(1-i)) resulting in -1 + i, with a green checkmark indicating correctness.

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