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Simplifying 2z + iz = 3 + -1i Reorder the terms: iz + 2z = 3 + -1i Solving iz + 2z = 3 + -1i 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 = 3 + -1i + i Reorder the terms: i + iz + 2z = 3 + -1i + i Combine like terms: -1i + i = 0 i + iz + 2z = 3 + 0 i + iz + 2z = 3 Add '-2z' to each side of the equation. i + iz + 2z + -2z = 3 + -2z Combine like terms: 2z + -2z = 0 i + iz + 0 = 3 + -2z i + iz = 3 + -2z Reorder the terms: -3 + i + iz + 2z = 3 + -2z + -3 + 2z Reorder the terms: -3 + i + iz + 2z = 3 + -3 + -2z + 2z Combine like terms: 3 + -3 = 0 -3 + i + iz + 2z = 0 + -2z + 2z -3 + i + iz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 -3 + i + iz + 2z = 0 The solution to this equation could not be determined.
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