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Simplifying (8 + -5i) * 2 = 0 Reorder the terms for easier multiplication: 2(8 + -5i) = 0 (8 * 2 + -5i * 2) = 0 (16 + -10i) = 0 Solving 16 + -10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -10i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -10i = 0 + -16 -10i = 0 + -16 Combine like terms: 0 + -16 = -16 -10i = -16 Divide each side by '-10'. i = 1.6 Simplifying i = 1.6
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