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Simplifying (2 + i) * z = 3z + -1i Reorder the terms for easier multiplication: z(2 + i) = 3z + -1i (2 * z + i * z) = 3z + -1i Reorder the terms: (iz + 2z) = 3z + -1i (iz + 2z) = 3z + -1i Reorder the terms: iz + 2z = -1i + 3z Solving iz + 2z = -1i + 3z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. iz + i + 2z = -1i + i + 3z Reorder the terms: i + iz + 2z = -1i + i + 3z Combine like terms: -1i + i = 0 i + iz + 2z = 0 + 3z i + iz + 2z = 3z Add '-2z' to each side of the equation. i + iz + 2z + -2z = 3z + -2z Combine like terms: 2z + -2z = 0 i + iz + 0 = 3z + -2z i + iz = 3z + -2z Combine like terms: 3z + -2z = 1z i + iz = 1z Combine like terms: 1z + -1z = 0 i + iz + -1z = 0 The solution to this equation could not be determined.
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