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