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Simplifying 1500 = [1000 + 0.5(4000) + -200i] Multiply 0.5 * 4000 1500 = [1000 + 2000 + -200i] Combine like terms: 1000 + 2000 = 3000 1500 = [3000 + -200i] Remove brackets around [3000 + -200i] 1500 = 3000 + -200i Solving 1500 = 3000 + -200i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '200i' to each side of the equation. 1500 + 200i = 3000 + -200i + 200i Combine like terms: -200i + 200i = 0 1500 + 200i = 3000 + 0 1500 + 200i = 3000 Add '-1500' to each side of the equation. 1500 + -1500 + 200i = 3000 + -1500 Combine like terms: 1500 + -1500 = 0 0 + 200i = 3000 + -1500 200i = 3000 + -1500 Combine like terms: 3000 + -1500 = 1500 200i = 1500 Divide each side by '200'. i = 7.5 Simplifying i = 7.5
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