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Simplifying 6i + -1(13 + -8i) = 0 6i + (13 * -1 + -8i * -1) = 0 6i + (-13 + 8i) = 0 Reorder the terms: -13 + 6i + 8i = 0 Combine like terms: 6i + 8i = 14i -13 + 14i = 0 Solving -13 + 14i = 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 + 14i = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 14i = 0 + 13 14i = 0 + 13 Combine like terms: 0 + 13 = 13 14i = 13 Divide each side by '14'. i = 0.9285714286 Simplifying i = 0.9285714286
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