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Simplifying (8 + 9i) + (3 + 5i) = 0 Remove parenthesis around (8 + 9i) 8 + 9i + (3 + 5i) = 0 Remove parenthesis around (3 + 5i) 8 + 9i + 3 + 5i = 0 Reorder the terms: 8 + 3 + 9i + 5i = 0 Combine like terms: 8 + 3 = 11 11 + 9i + 5i = 0 Combine like terms: 9i + 5i = 14i 11 + 14i = 0 Solving 11 + 14i = 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 + 14i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 14i = 0 + -11 14i = 0 + -11 Combine like terms: 0 + -11 = -11 14i = -11 Divide each side by '14'. i = -0.7857142857 Simplifying i = -0.7857142857
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