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