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Simplifying (3 + -2i) * 2 = 0 Reorder the terms for easier multiplication: 2(3 + -2i) = 0 (3 * 2 + -2i * 2) = 0 (6 + -4i) = 0 Solving 6 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -4i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4i = 0 + -6 -4i = 0 + -6 Combine like terms: 0 + -6 = -6 -4i = -6 Divide each side by '-4'. i = 1.5 Simplifying i = 1.5
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