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Simplifying z + -8 + 3i = 4 Reorder the terms: -8 + 3i + z = 4 Solving -8 + 3i + z = 4 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3i + 8 + z = 4 + 8 Reorder the terms: -8 + 8 + 3i + z = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3i + z = 4 + 8 3i + z = 4 + 8 Combine like terms: 4 + 8 = 12 3i + z = 12 Add '-1z' to each side of the equation. 3i + z + -1z = 12 + -1z Combine like terms: z + -1z = 0 3i + 0 = 12 + -1z 3i = 12 + -1z Divide each side by '3'. i = 4 + -0.3333333333z Simplifying i = 4 + -0.3333333333z
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