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Simplifying (8 + 2i) + -1(5 + -8i) = 0 Remove parenthesis around (8 + 2i) 8 + 2i + -1(5 + -8i) = 0 8 + 2i + (5 * -1 + -8i * -1) = 0 8 + 2i + (-5 + 8i) = 0 Reorder the terms: 8 + -5 + 2i + 8i = 0 Combine like terms: 8 + -5 = 3 3 + 2i + 8i = 0 Combine like terms: 2i + 8i = 10i 3 + 10i = 0 Solving 3 + 10i = 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 + 10i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10i = 0 + -3 10i = 0 + -3 Combine like terms: 0 + -3 = -3 10i = -3 Divide each side by '10'. i = -0.3 Simplifying i = -0.3
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