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Simplifying (9 + 2i) + (4 + -7i) = 0 Remove parenthesis around (9 + 2i) 9 + 2i + (4 + -7i) = 0 Remove parenthesis around (4 + -7i) 9 + 2i + 4 + -7i = 0 Reorder the terms: 9 + 4 + 2i + -7i = 0 Combine like terms: 9 + 4 = 13 13 + 2i + -7i = 0 Combine like terms: 2i + -7i = -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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