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Simplifying (7 + 4i) + -1(1 + 2i) = 0 Remove parenthesis around (7 + 4i) 7 + 4i + -1(1 + 2i) = 0 7 + 4i + (1 * -1 + 2i * -1) = 0 7 + 4i + (-1 + -2i) = 0 Reorder the terms: 7 + -1 + 4i + -2i = 0 Combine like terms: 7 + -1 = 6 6 + 4i + -2i = 0 Combine like terms: 4i + -2i = 2i 6 + 2i = 0 Solving 6 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2i = 0 + -6 2i = 0 + -6 Combine like terms: 0 + -6 = -6 2i = -6 Divide each side by '2'. i = -3 Simplifying i = -3
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