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Simplifying (4 + -9i) + (7 + -2i) = 0 Remove parenthesis around (4 + -9i) 4 + -9i + (7 + -2i) = 0 Remove parenthesis around (7 + -2i) 4 + -9i + 7 + -2i = 0 Reorder the terms: 4 + 7 + -9i + -2i = 0 Combine like terms: 4 + 7 = 11 11 + -9i + -2i = 0 Combine like terms: -9i + -2i = -11i 11 + -11i = 0 Solving 11 + -11i = 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 + -11i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -11i = 0 + -11 -11i = 0 + -11 Combine like terms: 0 + -11 = -11 -11i = -11 Divide each side by '-11'. i = 1 Simplifying i = 1
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