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Simplifying (-9 + 9i) + -1(6 + -8i) = 0 Remove parenthesis around (-9 + 9i) -9 + 9i + -1(6 + -8i) = 0 -9 + 9i + (6 * -1 + -8i * -1) = 0 -9 + 9i + (-6 + 8i) = 0 Reorder the terms: -9 + -6 + 9i + 8i = 0 Combine like terms: -9 + -6 = -15 -15 + 9i + 8i = 0 Combine like terms: 9i + 8i = 17i -15 + 17i = 0 Solving -15 + 17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 17i = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 17i = 0 + 15 17i = 0 + 15 Combine like terms: 0 + 15 = 15 17i = 15 Divide each side by '17'. i = 0.8823529412 Simplifying i = 0.8823529412
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