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Simplifying (5 + 2i) + -1(13 + 8i) = 0 Remove parenthesis around (5 + 2i) 5 + 2i + -1(13 + 8i) = 0 5 + 2i + (13 * -1 + 8i * -1) = 0 5 + 2i + (-13 + -8i) = 0 Reorder the terms: 5 + -13 + 2i + -8i = 0 Combine like terms: 5 + -13 = -8 -8 + 2i + -8i = 0 Combine like terms: 2i + -8i = -6i -8 + -6i = 0 Solving -8 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -6i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -6i = 0 + 8 -6i = 0 + 8 Combine like terms: 0 + 8 = 8 -6i = 8 Divide each side by '-6'. i = -1.333333333 Simplifying i = -1.333333333
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