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Simplifying (3 + 7i) + -1(-8 + i) = 0 Remove parenthesis around (3 + 7i) 3 + 7i + -1(-8 + i) = 0 3 + 7i + (-8 * -1 + i * -1) = 0 3 + 7i + (8 + -1i) = 0 Reorder the terms: 3 + 8 + 7i + -1i = 0 Combine like terms: 3 + 8 = 11 11 + 7i + -1i = 0 Combine like terms: 7i + -1i = 6i 11 + 6i = 0 Solving 11 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6i = 0 + -11 6i = 0 + -11 Combine like terms: 0 + -11 = -11 6i = -11 Divide each side by '6'. i = -1.833333333 Simplifying i = -1.833333333
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