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Simplifying z5 + 10 + -5i = 0 Reorder the terms: 10 + -5i + z5 = 0 Solving 10 + -5i + z5 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -5i + -10 + z5 = 0 + -10 Reorder the terms: 10 + -10 + -5i + z5 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5i + z5 = 0 + -10 -5i + z5 = 0 + -10 Combine like terms: 0 + -10 = -10 -5i + z5 = -10 Add '-1z5' to each side of the equation. -5i + z5 + -1z5 = -10 + -1z5 Combine like terms: z5 + -1z5 = 0 -5i + 0 = -10 + -1z5 -5i = -10 + -1z5 Divide each side by '-5'. i = 2 + 0.2z5 Simplifying i = 2 + 0.2z5
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