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Simplifying 13[i] = 13[3 + -1i] + 2 13i = [3 * 13 + -1i * 13] + 2 13i = [39 + -13i] + 2 Reorder the terms: 13i = 39 + 2 + -13i Combine like terms: 39 + 2 = 41 13i = 41 + -13i Solving 13i = 41 + -13i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '13i' to each side of the equation. 13i + 13i = 41 + -13i + 13i Combine like terms: 13i + 13i = 26i 26i = 41 + -13i + 13i Combine like terms: -13i + 13i = 0 26i = 41 + 0 26i = 41 Divide each side by '26'. i = 1.576923077 Simplifying i = 1.576923077
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