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Simplifying (14 + 4i) + -1(9 + 2i) = 0 Remove parenthesis around (14 + 4i) 14 + 4i + -1(9 + 2i) = 0 14 + 4i + (9 * -1 + 2i * -1) = 0 14 + 4i + (-9 + -2i) = 0 Reorder the terms: 14 + -9 + 4i + -2i = 0 Combine like terms: 14 + -9 = 5 5 + 4i + -2i = 0 Combine like terms: 4i + -2i = 2i 5 + 2i = 0 Solving 5 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2i = 0 + -5 2i = 0 + -5 Combine like terms: 0 + -5 = -5 2i = -5 Divide each side by '2'. i = -2.5 Simplifying i = -2.5
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