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Simplifying 3z + -1iz = 7 + -5i Reorder the terms: -1iz + 3z = 7 + -5i Solving -1iz + 3z = 7 + -5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5i' to each side of the equation. -1iz + 5i + 3z = 7 + -5i + 5i Reorder the terms: 5i + -1iz + 3z = 7 + -5i + 5i Combine like terms: -5i + 5i = 0 5i + -1iz + 3z = 7 + 0 5i + -1iz + 3z = 7 Add '-3z' to each side of the equation. 5i + -1iz + 3z + -3z = 7 + -3z Combine like terms: 3z + -3z = 0 5i + -1iz + 0 = 7 + -3z 5i + -1iz = 7 + -3z Reorder the terms: -7 + 5i + -1iz + 3z = 7 + -3z + -7 + 3z Reorder the terms: -7 + 5i + -1iz + 3z = 7 + -7 + -3z + 3z Combine like terms: 7 + -7 = 0 -7 + 5i + -1iz + 3z = 0 + -3z + 3z -7 + 5i + -1iz + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 -7 + 5i + -1iz + 3z = 0 The solution to this equation could not be determined.
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