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Simplifying (10 + -8i) + -1(13 + -10i) = 0 Remove parenthesis around (10 + -8i) 10 + -8i + -1(13 + -10i) = 0 10 + -8i + (13 * -1 + -10i * -1) = 0 10 + -8i + (-13 + 10i) = 0 Reorder the terms: 10 + -13 + -8i + 10i = 0 Combine like terms: 10 + -13 = -3 -3 + -8i + 10i = 0 Combine like terms: -8i + 10i = 2i -3 + 2i = 0 Solving -3 + 2i = 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 + 2i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2i = 0 + 3 2i = 0 + 3 Combine like terms: 0 + 3 = 3 2i = 3 Divide each side by '2'. i = 1.5 Simplifying i = 1.5
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