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Simplification of a complex number expression showing algebraic steps to reach the final result.

$Step-by-step simplification of the complex fraction ((-2)/(1+i)) * ((1-i)/(1-i)) resulting in -1 + i.$

Step-by-step simplification of the complex fraction ((-2)/(1+i)) * ((1-i)/(1-i)) resulting in -1 + i.

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