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Simplifying (8 + 8i) + -1(-3 + i) = 0 Remove parenthesis around (8 + 8i) 8 + 8i + -1(-3 + i) = 0 8 + 8i + (-3 * -1 + i * -1) = 0 8 + 8i + (3 + -1i) = 0 Reorder the terms: 8 + 3 + 8i + -1i = 0 Combine like terms: 8 + 3 = 11 11 + 8i + -1i = 0 Combine like terms: 8i + -1i = 7i 11 + 7i = 0 Solving 11 + 7i = 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 + 7i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7i = 0 + -11 7i = 0 + -11 Combine like terms: 0 + -11 = -11 7i = -11 Divide each side by '7'. i = -1.571428571 Simplifying i = -1.571428571
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