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Simplifying (-9 + 8i) + -1(5 + -7i) = 0 Remove parenthesis around (-9 + 8i) -9 + 8i + -1(5 + -7i) = 0 -9 + 8i + (5 * -1 + -7i * -1) = 0 -9 + 8i + (-5 + 7i) = 0 Reorder the terms: -9 + -5 + 8i + 7i = 0 Combine like terms: -9 + -5 = -14 -14 + 8i + 7i = 0 Combine like terms: 8i + 7i = 15i -14 + 15i = 0 Solving -14 + 15i = 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 + 15i = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 15i = 0 + 14 15i = 0 + 14 Combine like terms: 0 + 14 = 14 15i = 14 Divide each side by '15'. i = 0.9333333333 Simplifying i = 0.9333333333
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