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Simplifying 9i + -1(10 + -8i) = 0 9i + (10 * -1 + -8i * -1) = 0 9i + (-10 + 8i) = 0 Reorder the terms: -10 + 9i + 8i = 0 Combine like terms: 9i + 8i = 17i -10 + 17i = 0 Solving -10 + 17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 17i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 17i = 0 + 10 17i = 0 + 10 Combine like terms: 0 + 10 = 10 17i = 10 Divide each side by '17'. i = 0.5882352941 Simplifying i = 0.5882352941
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