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Simplifying (2 + i) + -1(6 + -2i) = 0 Remove parenthesis around (2 + i) 2 + i + -1(6 + -2i) = 0 2 + i + (6 * -1 + -2i * -1) = 0 2 + i + (-6 + 2i) = 0 Reorder the terms: 2 + -6 + i + 2i = 0 Combine like terms: 2 + -6 = -4 -4 + i + 2i = 0 Combine like terms: i + 2i = 3i -4 + 3i = 0 Solving -4 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3i = 0 + 4 3i = 0 + 4 Combine like terms: 0 + 4 = 4 3i = 4 Divide each side by '3'. i = 1.333333333 Simplifying i = 1.333333333
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