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Simplifying z5 + 32 + -32i = 0 Reorder the terms: 32 + -32i + z5 = 0 Solving 32 + -32i + z5 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32i + -32 + z5 = 0 + -32 Reorder the terms: 32 + -32 + -32i + z5 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -32i + z5 = 0 + -32 -32i + z5 = 0 + -32 Combine like terms: 0 + -32 = -32 -32i + z5 = -32 Add '-1z5' to each side of the equation. -32i + z5 + -1z5 = -32 + -1z5 Combine like terms: z5 + -1z5 = 0 -32i + 0 = -32 + -1z5 -32i = -32 + -1z5 Divide each side by '-32'. i = 1 + 0.03125z5 Simplifying i = 1 + 0.03125z5
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