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Simplifying 3z + 5i = 2 + -1z * i Reorder the terms: 5i + 3z = 2 + -1z * i Multiply z * i 5i + 3z = 2 + -1iz Solving 5i + 3z = 2 + -1iz Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'iz' to each side of the equation. 5i + iz + 3z = 2 + -1iz + iz Combine like terms: -1iz + iz = 0 5i + iz + 3z = 2 + 0 5i + iz + 3z = 2 Add '-3z' to each side of the equation. 5i + iz + 3z + -3z = 2 + -3z Combine like terms: 3z + -3z = 0 5i + iz + 0 = 2 + -3z 5i + iz = 2 + -3z Reorder the terms: -2 + 5i + iz + 3z = 2 + -3z + -2 + 3z Reorder the terms: -2 + 5i + iz + 3z = 2 + -2 + -3z + 3z Combine like terms: 2 + -2 = 0 -2 + 5i + iz + 3z = 0 + -3z + 3z -2 + 5i + iz + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 -2 + 5i + iz + 3z = 0 The solution to this equation could not be determined.
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