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Simplifying z5 + 4 + 4i = 0 Reorder the terms: 4 + 4i + z5 = 0 Solving 4 + 4i + z5 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4i + -4 + z5 = 0 + -4 Reorder the terms: 4 + -4 + 4i + z5 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4i + z5 = 0 + -4 4i + z5 = 0 + -4 Combine like terms: 0 + -4 = -4 4i + z5 = -4 Add '-1z5' to each side of the equation. 4i + z5 + -1z5 = -4 + -1z5 Combine like terms: z5 + -1z5 = 0 4i + 0 = -4 + -1z5 4i = -4 + -1z5 Divide each side by '4'. i = -1 + -0.25z5 Simplifying i = -1 + -0.25z5
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