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Simplifying (7 + 5i) + -1(-9 + -11i) = 0 Remove parenthesis around (7 + 5i) 7 + 5i + -1(-9 + -11i) = 0 7 + 5i + (-9 * -1 + -11i * -1) = 0 7 + 5i + (9 + 11i) = 0 Reorder the terms: 7 + 9 + 5i + 11i = 0 Combine like terms: 7 + 9 = 16 16 + 5i + 11i = 0 Combine like terms: 5i + 11i = 16i 16 + 16i = 0 Solving 16 + 16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 16i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 16i = 0 + -16 16i = 0 + -16 Combine like terms: 0 + -16 = -16 16i = -16 Divide each side by '16'. i = -1 Simplifying i = -1
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