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Simplifying 1[i] = 1[3 + -1i] + 2 1i = [3 * 1 + -1i * 1] + 2 1i = [3 + -1i] + 2 Reorder the terms: 1i = 3 + 2 + -1i Combine like terms: 3 + 2 = 5 1i = 5 + -1i Solving 1i = 5 + -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 1i + i = 5 + -1i + i Combine like terms: 1i + i = 2i 2i = 5 + -1i + i Combine like terms: -1i + i = 0 2i = 5 + 0 2i = 5 Divide each side by '2'. i = 2.5 Simplifying i = 2.5
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