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Simplifying (-4 + 8i) + -1(9 + -8i) = 0 Remove parenthesis around (-4 + 8i) -4 + 8i + -1(9 + -8i) = 0 -4 + 8i + (9 * -1 + -8i * -1) = 0 -4 + 8i + (-9 + 8i) = 0 Reorder the terms: -4 + -9 + 8i + 8i = 0 Combine like terms: -4 + -9 = -13 -13 + 8i + 8i = 0 Combine like terms: 8i + 8i = 16i -13 + 16i = 0 Solving -13 + 16i = 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 + 16i = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 16i = 0 + 13 16i = 0 + 13 Combine like terms: 0 + 13 = 13 16i = 13 Divide each side by '16'. i = 0.8125 Simplifying i = 0.8125
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