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Simplifying (4 + 7i) + (9 + -2i) = 0 Remove parenthesis around (4 + 7i) 4 + 7i + (9 + -2i) = 0 Remove parenthesis around (9 + -2i) 4 + 7i + 9 + -2i = 0 Reorder the terms: 4 + 9 + 7i + -2i = 0 Combine like terms: 4 + 9 = 13 13 + 7i + -2i = 0 Combine like terms: 7i + -2i = 5i 13 + 5i = 0 Solving 13 + 5i = 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 + 5i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5i = 0 + -13 5i = 0 + -13 Combine like terms: 0 + -13 = -13 5i = -13 Divide each side by '5'. i = -2.6 Simplifying i = -2.6
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