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Simplifying 10000 = 7000(1 + i * 6) Reorder the terms for easier multiplication: 10000 = 7000(1 + 6i) 10000 = (1 * 7000 + 6i * 7000) 10000 = (7000 + 42000i) Solving 10000 = 7000 + 42000i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-42000i' to each side of the equation. 10000 + -42000i = 7000 + 42000i + -42000i Combine like terms: 42000i + -42000i = 0 10000 + -42000i = 7000 + 0 10000 + -42000i = 7000 Add '-10000' to each side of the equation. 10000 + -10000 + -42000i = 7000 + -10000 Combine like terms: 10000 + -10000 = 0 0 + -42000i = 7000 + -10000 -42000i = 7000 + -10000 Combine like terms: 7000 + -10000 = -3000 -42000i = -3000 Divide each side by '-42000'. i = 0.07142857143 Simplifying i = 0.07142857143
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