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Simplifying (5 + -1i) + -1(8 + -2i) = 0 Remove parenthesis around (5 + -1i) 5 + -1i + -1(8 + -2i) = 0 5 + -1i + (8 * -1 + -2i * -1) = 0 5 + -1i + (-8 + 2i) = 0 Reorder the terms: 5 + -8 + -1i + 2i = 0 Combine like terms: 5 + -8 = -3 -3 + -1i + 2i = 0 Combine like terms: -1i + 2i = 1i -3 + 1i = 0 Solving -3 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1i = 0 + 3 1i = 0 + 3 Combine like terms: 0 + 3 = 3 1i = 3 Divide each side by '1'. i = 3 Simplifying i = 3
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