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Simplifying (5 + i) * 2 = 0 Reorder the terms for easier multiplication: 2(5 + i) = 0 (5 * 2 + i * 2) = 0 (10 + 2i) = 0 Solving 10 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2i = 0 + -10 2i = 0 + -10 Combine like terms: 0 + -10 = -10 2i = -10 Divide each side by '2'. i = -5 Simplifying i = -5
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