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Simplifying (1 + -1i) * 3 = 0 Reorder the terms for easier multiplication: 3(1 + -1i) = 0 (1 * 3 + -1i * 3) = 0 (3 + -3i) = 0 Solving 3 + -3i = 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 + -3 + -3i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3i = 0 + -3 -3i = 0 + -3 Combine like terms: 0 + -3 = -3 -3i = -3 Divide each side by '-3'. i = 1 Simplifying i = 1
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