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