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Simplifying 3i + -1(13 + -5i) = 0 3i + (13 * -1 + -5i * -1) = 0 3i + (-13 + 5i) = 0 Reorder the terms: -13 + 3i + 5i = 0 Combine like terms: 3i + 5i = 8i -13 + 8i = 0 Solving -13 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8i = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 8i = 0 + 13 8i = 0 + 13 Combine like terms: 0 + 13 = 13 8i = 13 Divide each side by '8'. i = 1.625 Simplifying i = 1.625
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