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Simplifying (1 + i) * 4 = z Reorder the terms for easier multiplication: 4(1 + i) = z (1 * 4 + i * 4) = z (4 + 4i) = z Solving 4 + 4i = z 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 + -4 + 4i = -4 + z Combine like terms: 4 + -4 = 0 0 + 4i = -4 + z 4i = -4 + z Divide each side by '4'. i = -1 + 0.25z Simplifying i = -1 + 0.25z
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