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Simplifying z2 + 3 + 4i = 0 Reorder the terms: 3 + 4i + z2 = 0 Solving 3 + 4i + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4i + -3 + z2 = 0 + -3 Reorder the terms: 3 + -3 + 4i + z2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4i + z2 = 0 + -3 4i + z2 = 0 + -3 Combine like terms: 0 + -3 = -3 4i + z2 = -3 Add '-1z2' to each side of the equation. 4i + z2 + -1z2 = -3 + -1z2 Combine like terms: z2 + -1z2 = 0 4i + 0 = -3 + -1z2 4i = -3 + -1z2 Divide each side by '4'. i = -0.75 + -0.25z2 Simplifying i = -0.75 + -0.25z2
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