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Simplifying (3 + 2i) * z + -3 + 6i = 2 + -4i Reorder the terms for easier multiplication: z(3 + 2i) + -3 + 6i = 2 + -4i (3 * z + 2i * z) + -3 + 6i = 2 + -4i Reorder the terms: (2iz + 3z) + -3 + 6i = 2 + -4i (2iz + 3z) + -3 + 6i = 2 + -4i Reorder the terms: -3 + 6i + 2iz + 3z = 2 + -4i Solving -3 + 6i + 2iz + 3z = 2 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. -3 + 6i + 2iz + 4i + 3z = 2 + -4i + 4i Reorder the terms: -3 + 6i + 4i + 2iz + 3z = 2 + -4i + 4i Combine like terms: 6i + 4i = 10i -3 + 10i + 2iz + 3z = 2 + -4i + 4i Combine like terms: -4i + 4i = 0 -3 + 10i + 2iz + 3z = 2 + 0 -3 + 10i + 2iz + 3z = 2 Add '3' to each side of the equation. -3 + 10i + 2iz + 3 + 3z = 2 + 3 Reorder the terms: -3 + 3 + 10i + 2iz + 3z = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 10i + 2iz + 3z = 2 + 3 10i + 2iz + 3z = 2 + 3 Combine like terms: 2 + 3 = 5 10i + 2iz + 3z = 5 Add '-3z' to each side of the equation. 10i + 2iz + 3z + -3z = 5 + -3z Combine like terms: 3z + -3z = 0 10i + 2iz + 0 = 5 + -3z 10i + 2iz = 5 + -3z Reorder the terms: -5 + 10i + 2iz + 3z = 5 + -3z + -5 + 3z Reorder the terms: -5 + 10i + 2iz + 3z = 5 + -5 + -3z + 3z Combine like terms: 5 + -5 = 0 -5 + 10i + 2iz + 3z = 0 + -3z + 3z -5 + 10i + 2iz + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 -5 + 10i + 2iz + 3z = 0 The solution to this equation could not be determined.
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