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