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Simplifying (7 + -4i) + (7 + 9i) = 0 Remove parenthesis around (7 + -4i) 7 + -4i + (7 + 9i) = 0 Remove parenthesis around (7 + 9i) 7 + -4i + 7 + 9i = 0 Reorder the terms: 7 + 7 + -4i + 9i = 0 Combine like terms: 7 + 7 = 14 14 + -4i + 9i = 0 Combine like terms: -4i + 9i = 5i 14 + 5i = 0 Solving 14 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5i = 0 + -14 5i = 0 + -14 Combine like terms: 0 + -14 = -14 5i = -14 Divide each side by '5'. i = -2.8 Simplifying i = -2.8
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