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Simplifying 5i + -1(14 + -8i) = 0 5i + (14 * -1 + -8i * -1) = 0 5i + (-14 + 8i) = 0 Reorder the terms: -14 + 5i + 8i = 0 Combine like terms: 5i + 8i = 13i -14 + 13i = 0 Solving -14 + 13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 13i = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 13i = 0 + 14 13i = 0 + 14 Combine like terms: 0 + 14 = 14 13i = 14 Divide each side by '13'. i = 1.076923077 Simplifying i = 1.076923077
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