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Simplifying 1000 = 500(1 + i) 1000 = (1 * 500 + i * 500) 1000 = (500 + 500i) Solving 1000 = 500 + 500i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-500i' to each side of the equation. 1000 + -500i = 500 + 500i + -500i Combine like terms: 500i + -500i = 0 1000 + -500i = 500 + 0 1000 + -500i = 500 Add '-1000' to each side of the equation. 1000 + -1000 + -500i = 500 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -500i = 500 + -1000 -500i = 500 + -1000 Combine like terms: 500 + -1000 = -500 -500i = -500 Divide each side by '-500'. i = 1 Simplifying i = 1
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