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Simplifying z * 5 + 4 + -4i = 0 Reorder the terms for easier multiplication: 5z + 4 + -4i = 0 Reorder the terms: 4 + -4i + 5z = 0 Solving 4 + -4i + 5z = 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 + 5z = 0 + -4 Reorder the terms: 4 + -4 + -4i + 5z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4i + 5z = 0 + -4 -4i + 5z = 0 + -4 Combine like terms: 0 + -4 = -4 -4i + 5z = -4 Add '-5z' to each side of the equation. -4i + 5z + -5z = -4 + -5z Combine like terms: 5z + -5z = 0 -4i + 0 = -4 + -5z -4i = -4 + -5z Divide each side by '-4'. i = 1 + 1.25z Simplifying i = 1 + 1.25z
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