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Simplifying (7 + 3i) + -1(-9 + -8i) = 0 Remove parenthesis around (7 + 3i) 7 + 3i + -1(-9 + -8i) = 0 7 + 3i + (-9 * -1 + -8i * -1) = 0 7 + 3i + (9 + 8i) = 0 Reorder the terms: 7 + 9 + 3i + 8i = 0 Combine like terms: 7 + 9 = 16 16 + 3i + 8i = 0 Combine like terms: 3i + 8i = 11i 16 + 11i = 0 Solving 16 + 11i = 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 + 11i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 11i = 0 + -16 11i = 0 + -16 Combine like terms: 0 + -16 = -16 11i = -16 Divide each side by '11'. i = -1.454545455 Simplifying i = -1.454545455
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