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Simplifying (7 + 4i) + -1(1 + -2i) = 1 Remove parenthesis around (7 + 4i) 7 + 4i + -1(1 + -2i) = 1 7 + 4i + (1 * -1 + -2i * -1) = 1 7 + 4i + (-1 + 2i) = 1 Reorder the terms: 7 + -1 + 4i + 2i = 1 Combine like terms: 7 + -1 = 6 6 + 4i + 2i = 1 Combine like terms: 4i + 2i = 6i 6 + 6i = 1 Solving 6 + 6i = 1 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 + 6i = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 6i = 1 + -6 6i = 1 + -6 Combine like terms: 1 + -6 = -5 6i = -5 Divide each side by '6'. i = -0.8333333333 Simplifying i = -0.8333333333
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