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Simplifying (5 + -6i) + -1(-8 + 2i) = 0 Remove parenthesis around (5 + -6i) 5 + -6i + -1(-8 + 2i) = 0 5 + -6i + (-8 * -1 + 2i * -1) = 0 5 + -6i + (8 + -2i) = 0 Reorder the terms: 5 + 8 + -6i + -2i = 0 Combine like terms: 5 + 8 = 13 13 + -6i + -2i = 0 Combine like terms: -6i + -2i = -8i 13 + -8i = 0 Solving 13 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8i = 0 + -13 -8i = 0 + -13 Combine like terms: 0 + -13 = -13 -8i = -13 Divide each side by '-8'. i = 1.625 Simplifying i = 1.625
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