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Simplifying (9 + 6i) + -1(15 + -7i) = 0 Remove parenthesis around (9 + 6i) 9 + 6i + -1(15 + -7i) = 0 9 + 6i + (15 * -1 + -7i * -1) = 0 9 + 6i + (-15 + 7i) = 0 Reorder the terms: 9 + -15 + 6i + 7i = 0 Combine like terms: 9 + -15 = -6 -6 + 6i + 7i = 0 Combine like terms: 6i + 7i = 13i -6 + 13i = 0 Solving -6 + 13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 13i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 13i = 0 + 6 13i = 0 + 6 Combine like terms: 0 + 6 = 6 13i = 6 Divide each side by '13'. i = 0.4615384615 Simplifying i = 0.4615384615
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