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Simplifying (7 + 4i) + (5 + 5i) + (2 + 4i) = 0 Remove parenthesis around (7 + 4i) 7 + 4i + (5 + 5i) + (2 + 4i) = 0 Remove parenthesis around (5 + 5i) 7 + 4i + 5 + 5i + (2 + 4i) = 0 Remove parenthesis around (2 + 4i) 7 + 4i + 5 + 5i + 2 + 4i = 0 Reorder the terms: 7 + 5 + 2 + 4i + 5i + 4i = 0 Combine like terms: 7 + 5 = 12 12 + 2 + 4i + 5i + 4i = 0 Combine like terms: 12 + 2 = 14 14 + 4i + 5i + 4i = 0 Combine like terms: 4i + 5i = 9i 14 + 9i + 4i = 0 Combine like terms: 9i + 4i = 13i 14 + 13i = 0 Solving 14 + 13i = 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 + 13i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 13i = 0 + -14 13i = 0 + -14 Combine like terms: 0 + -14 = -14 13i = -14 Divide each side by '13'. i = -1.076923077 Simplifying i = -1.076923077
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