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Simplifying z4 + 2 + 4i = 0 Reorder the terms: 2 + 4i + z4 = 0 Solving 2 + 4i + z4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4i + -2 + z4 = 0 + -2 Reorder the terms: 2 + -2 + 4i + z4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4i + z4 = 0 + -2 4i + z4 = 0 + -2 Combine like terms: 0 + -2 = -2 4i + z4 = -2 Add '-1z4' to each side of the equation. 4i + z4 + -1z4 = -2 + -1z4 Combine like terms: z4 + -1z4 = 0 4i + 0 = -2 + -1z4 4i = -2 + -1z4 Divide each side by '4'. i = -0.5 + -0.25z4 Simplifying i = -0.5 + -0.25z4
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