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Simplifying 9i + -1(16 + -9i) = 0 9i + (16 * -1 + -9i * -1) = 0 9i + (-16 + 9i) = 0 Reorder the terms: -16 + 9i + 9i = 0 Combine like terms: 9i + 9i = 18i -16 + 18i = 0 Solving -16 + 18i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 18i = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 18i = 0 + 16 18i = 0 + 16 Combine like terms: 0 + 16 = 16 18i = 16 Divide each side by '18'. i = 0.8888888889 Simplifying i = 0.8888888889
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