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Simplifying 3 = -1(-6 + -9i) + -1(-7 + 2i) 3 = (-6 * -1 + -9i * -1) + -1(-7 + 2i) 3 = (6 + 9i) + -1(-7 + 2i) 3 = 6 + 9i + (-7 * -1 + 2i * -1) 3 = 6 + 9i + (7 + -2i) Reorder the terms: 3 = 6 + 7 + 9i + -2i Combine like terms: 6 + 7 = 13 3 = 13 + 9i + -2i Combine like terms: 9i + -2i = 7i 3 = 13 + 7i Solving 3 = 13 + 7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. 3 + -7i = 13 + 7i + -7i Combine like terms: 7i + -7i = 0 3 + -7i = 13 + 0 3 + -7i = 13 Add '-3' to each side of the equation. 3 + -3 + -7i = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -7i = 13 + -3 -7i = 13 + -3 Combine like terms: 13 + -3 = 10 -7i = 10 Divide each side by '-7'. i = -1.428571429 Simplifying i = -1.428571429
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