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Simplifying 5[i] = 5[3 + -1i] + 2 5i = [3 * 5 + -1i * 5] + 2 5i = [15 + -5i] + 2 Reorder the terms: 5i = 15 + 2 + -5i Combine like terms: 15 + 2 = 17 5i = 17 + -5i Solving 5i = 17 + -5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5i' to each side of the equation. 5i + 5i = 17 + -5i + 5i Combine like terms: 5i + 5i = 10i 10i = 17 + -5i + 5i Combine like terms: -5i + 5i = 0 10i = 17 + 0 10i = 17 Divide each side by '10'. i = 1.7 Simplifying i = 1.7
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