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Simplifying z2 + i = 3 + 2i Reorder the terms: i + z2 = 3 + 2i Solving i + z2 = 3 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. i + -2i + z2 = 3 + 2i + -2i Combine like terms: i + -2i = -1i -1i + z2 = 3 + 2i + -2i Combine like terms: 2i + -2i = 0 -1i + z2 = 3 + 0 -1i + z2 = 3 Add '-1z2' to each side of the equation. -1i + z2 + -1z2 = 3 + -1z2 Combine like terms: z2 + -1z2 = 0 -1i + 0 = 3 + -1z2 -1i = 3 + -1z2 Divide each side by '-1'. i = -3 + z2 Simplifying i = -3 + z2
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