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Simplifying (4 + -2i) + (3 + 9i) = 0 Remove parenthesis around (4 + -2i) 4 + -2i + (3 + 9i) = 0 Remove parenthesis around (3 + 9i) 4 + -2i + 3 + 9i = 0 Reorder the terms: 4 + 3 + -2i + 9i = 0 Combine like terms: 4 + 3 = 7 7 + -2i + 9i = 0 Combine like terms: -2i + 9i = 7i 7 + 7i = 0 Solving 7 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7i = 0 + -7 7i = 0 + -7 Combine like terms: 0 + -7 = -7 7i = -7 Divide each side by '7'. i = -1 Simplifying i = -1
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