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Simplifying exp(2z) = 1 + -1i Remove parenthesis around (2z) epx * 2z = 1 + -1i Reorder the terms for easier multiplication: 2epx * z = 1 + -1i Multiply epx * z 2epxz = 1 + -1i Solving 2epxz = 1 + -1i Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Divide each side by '2pxz'. e = 0.5p-1x-1z-1 + -0.5ip-1x-1z-1 Simplifying e = 0.5p-1x-1z-1 + -0.5ip-1x-1z-1 Reorder the terms: e = -0.5ip-1x-1z-1 + 0.5p-1x-1z-1
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