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Simplifying (-3 + i) + -1(2 + -1i) = 0 Remove parenthesis around (-3 + i) -3 + i + -1(2 + -1i) = 0 -3 + i + (2 * -1 + -1i * -1) = 0 -3 + i + (-2 + 1i) = 0 Reorder the terms: -3 + -2 + i + 1i = 0 Combine like terms: -3 + -2 = -5 -5 + i + 1i = 0 Combine like terms: i + 1i = 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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