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Simplifying z + -2 + -2i = 0 Reorder the terms: -2 + -2i + z = 0 Solving -2 + -2i + z = 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 + z = 0 + 2 Reorder the terms: -2 + 2 + -2i + z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2i + z = 0 + 2 -2i + z = 0 + 2 Combine like terms: 0 + 2 = 2 -2i + z = 2 Add '-1z' to each side of the equation. -2i + z + -1z = 2 + -1z Combine like terms: z + -1z = 0 -2i + 0 = 2 + -1z -2i = 2 + -1z Divide each side by '-2'. i = -1 + 0.5z Simplifying i = -1 + 0.5z
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