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Simplifying (5 + -2i) + (9 + -5i) = 0 Remove parenthesis around (5 + -2i) 5 + -2i + (9 + -5i) = 0 Remove parenthesis around (9 + -5i) 5 + -2i + 9 + -5i = 0 Reorder the terms: 5 + 9 + -2i + -5i = 0 Combine like terms: 5 + 9 = 14 14 + -2i + -5i = 0 Combine like terms: -2i + -5i = -7i 14 + -7i = 0 Solving 14 + -7i = 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 + -7i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7i = 0 + -14 -7i = 0 + -14 Combine like terms: 0 + -14 = -14 -7i = -14 Divide each side by '-7'. i = 2 Simplifying i = 2
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