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Simplifying (1 + i) * z = 3 + -1 Reorder the terms for easier multiplication: z(1 + i) = 3 + -1 (1 * z + i * z) = 3 + -1 Reorder the terms: (iz + 1z) = 3 + -1 (iz + 1z) = 3 + -1 Combine like terms: 3 + -1 = 2 iz + 1z = 2 Solving iz + 1z = 2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1z' to each side of the equation. iz + 1z + -1z = 2 + -1z Combine like terms: 1z + -1z = 0 iz + 0 = 2 + -1z iz = 2 + -1z Divide each side by 'z'. i = 2z-1 + -1 Simplifying i = 2z-1 + -1 Reorder the terms: i = -1 + 2z-1
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