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Simplifying z2 + 3 + i = 3z Reorder the terms: 3 + i + z2 = 3z Solving 3 + i + z2 = 3z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + i + -3 + z2 = -3 + 3z Reorder the terms: 3 + -3 + i + z2 = -3 + 3z Combine like terms: 3 + -3 = 0 0 + i + z2 = -3 + 3z i + z2 = -3 + 3z Add '-1z2' to each side of the equation. i + z2 + -1z2 = -3 + 3z + -1z2 Combine like terms: z2 + -1z2 = 0 i + 0 = -3 + 3z + -1z2 i = -3 + 3z + -1z2 Simplifying i = -3 + 3z + -1z2
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