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Simplifying (5 + 6i) + -1(7 + -8i) = 0 Remove parenthesis around (5 + 6i) 5 + 6i + -1(7 + -8i) = 0 5 + 6i + (7 * -1 + -8i * -1) = 0 5 + 6i + (-7 + 8i) = 0 Reorder the terms: 5 + -7 + 6i + 8i = 0 Combine like terms: 5 + -7 = -2 -2 + 6i + 8i = 0 Combine like terms: 6i + 8i = 14i -2 + 14i = 0 Solving -2 + 14i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 14i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 14i = 0 + 2 14i = 0 + 2 Combine like terms: 0 + 2 = 2 14i = 2 Divide each side by '14'. i = 0.1428571429 Simplifying i = 0.1428571429
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