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Simplifying 6i + -1(10 + -9i) = 0 6i + (10 * -1 + -9i * -1) = 0 6i + (-10 + 9i) = 0 Reorder the terms: -10 + 6i + 9i = 0 Combine like terms: 6i + 9i = 15i -10 + 15i = 0 Solving -10 + 15i = 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 + 15i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 15i = 0 + 10 15i = 0 + 10 Combine like terms: 0 + 10 = 10 15i = 10 Divide each side by '15'. i = 0.6666666667 Simplifying i = 0.6666666667
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