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Simplifying 3i + -1(9 + -5i) = 0 3i + (9 * -1 + -5i * -1) = 0 3i + (-9 + 5i) = 0 Reorder the terms: -9 + 3i + 5i = 0 Combine like terms: 3i + 5i = 8i -9 + 8i = 0 Solving -9 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8i = 0 + 9 8i = 0 + 9 Combine like terms: 0 + 9 = 9 8i = 9 Divide each side by '8'. i = 1.125 Simplifying i = 1.125
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