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