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Simplifying (-1 + i) + -1(-2 + -1i) = 0 Remove parenthesis around (-1 + i) -1 + i + -1(-2 + -1i) = 0 -1 + i + (-2 * -1 + -1i * -1) = 0 -1 + i + (2 + 1i) = 0 Reorder the terms: -1 + 2 + i + 1i = 0 Combine like terms: -1 + 2 = 1 1 + i + 1i = 0 Combine like terms: i + 1i = 2i 1 + 2i = 0 Solving 1 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2i = 0 + -1 2i = 0 + -1 Combine like terms: 0 + -1 = -1 2i = -1 Divide each side by '2'. i = -0.5 Simplifying i = -0.5
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