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Simplifying (8i + 1) * 5 = 12 Reorder the terms: (1 + 8i) * 5 = 12 Reorder the terms for easier multiplication: 5(1 + 8i) = 12 (1 * 5 + 8i * 5) = 12 (5 + 40i) = 12 Solving 5 + 40i = 12 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 40i = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 40i = 12 + -5 40i = 12 + -5 Combine like terms: 12 + -5 = 7 40i = 7 Divide each side by '40'. i = 0.175 Simplifying i = 0.175
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