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Simplifying z + 4 + -3i = 0 Reorder the terms: 4 + -3i + z = 0 Solving 4 + -3i + z = 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 + -3i + -4 + z = 0 + -4 Reorder the terms: 4 + -4 + -3i + z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3i + z = 0 + -4 -3i + z = 0 + -4 Combine like terms: 0 + -4 = -4 -3i + z = -4 Add '-1z' to each side of the equation. -3i + z + -1z = -4 + -1z Combine like terms: z + -1z = 0 -3i + 0 = -4 + -1z -3i = -4 + -1z Divide each side by '-3'. i = 1.333333333 + 0.3333333333z Simplifying i = 1.333333333 + 0.3333333333z
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