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Simplifying (7 + -5i) + (6 + 9i) = 0 Remove parenthesis around (7 + -5i) 7 + -5i + (6 + 9i) = 0 Remove parenthesis around (6 + 9i) 7 + -5i + 6 + 9i = 0 Reorder the terms: 7 + 6 + -5i + 9i = 0 Combine like terms: 7 + 6 = 13 13 + -5i + 9i = 0 Combine like terms: -5i + 9i = 4i 13 + 4i = 0 Solving 13 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4i = 0 + -13 4i = 0 + -13 Combine like terms: 0 + -13 = -13 4i = -13 Divide each side by '4'. i = -3.25 Simplifying i = -3.25
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