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Simplifying z3 + -2i + 2 = 0 Reorder the terms: 2 + -2i + z3 = 0 Solving 2 + -2i + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2i + -2 + z3 = 0 + -2 Reorder the terms: 2 + -2 + -2i + z3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2i + z3 = 0 + -2 -2i + z3 = 0 + -2 Combine like terms: 0 + -2 = -2 -2i + z3 = -2 Add '-1z3' to each side of the equation. -2i + z3 + -1z3 = -2 + -1z3 Combine like terms: z3 + -1z3 = 0 -2i + 0 = -2 + -1z3 -2i = -2 + -1z3 Divide each side by '-2'. i = 1 + 0.5z3 Simplifying i = 1 + 0.5z3
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