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Simplifying (13 + 6i) + -1(7 + -3i) = 0 Remove parenthesis around (13 + 6i) 13 + 6i + -1(7 + -3i) = 0 13 + 6i + (7 * -1 + -3i * -1) = 0 13 + 6i + (-7 + 3i) = 0 Reorder the terms: 13 + -7 + 6i + 3i = 0 Combine like terms: 13 + -7 = 6 6 + 6i + 3i = 0 Combine like terms: 6i + 3i = 9i 6 + 9i = 0 Solving 6 + 9i = 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 + 9i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9i = 0 + -6 9i = 0 + -6 Combine like terms: 0 + -6 = -6 9i = -6 Divide each side by '9'. i = -0.6666666667 Simplifying i = -0.6666666667
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