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Simplifying (3 + 10i) * 2 = 0 Reorder the terms for easier multiplication: 2(3 + 10i) = 0 (3 * 2 + 10i * 2) = 0 (6 + 20i) = 0 Solving 6 + 20i = 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 + 20i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 20i = 0 + -6 20i = 0 + -6 Combine like terms: 0 + -6 = -6 20i = -6 Divide each side by '20'. i = -0.3 Simplifying i = -0.3
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