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Simplifying 9i + -1(5 + 3i) = 0 9i + (5 * -1 + 3i * -1) = 0 9i + (-5 + -3i) = 0 Reorder the terms: -5 + 9i + -3i = 0 Combine like terms: 9i + -3i = 6i -5 + 6i = 0 Solving -5 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6i = 0 + 5 6i = 0 + 5 Combine like terms: 0 + 5 = 5 6i = 5 Divide each side by '6'. i = 0.8333333333 Simplifying i = 0.8333333333
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