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Simplifying z2 + 1 + 5i = 0 Reorder the terms: 1 + 5i + z2 = 0 Solving 1 + 5i + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5i + -1 + z2 = 0 + -1 Reorder the terms: 1 + -1 + 5i + z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5i + z2 = 0 + -1 5i + z2 = 0 + -1 Combine like terms: 0 + -1 = -1 5i + z2 = -1 Add '-1z2' to each side of the equation. 5i + z2 + -1z2 = -1 + -1z2 Combine like terms: z2 + -1z2 = 0 5i + 0 = -1 + -1z2 5i = -1 + -1z2 Divide each side by '5'. i = -0.2 + -0.2z2 Simplifying i = -0.2 + -0.2z2
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