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Simplifying 9i + -1(13 + 7i) = 0 9i + (13 * -1 + 7i * -1) = 0 9i + (-13 + -7i) = 0 Reorder the terms: -13 + 9i + -7i = 0 Combine like terms: 9i + -7i = 2i -13 + 2i = 0 Solving -13 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2i = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2i = 0 + 13 2i = 0 + 13 Combine like terms: 0 + 13 = 13 2i = 13 Divide each side by '2'. i = 6.5 Simplifying i = 6.5
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