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Simplifying (-9 + 8i) + -1(6 + -7i) = 0 Remove parenthesis around (-9 + 8i) -9 + 8i + -1(6 + -7i) = 0 -9 + 8i + (6 * -1 + -7i * -1) = 0 -9 + 8i + (-6 + 7i) = 0 Reorder the terms: -9 + -6 + 8i + 7i = 0 Combine like terms: -9 + -6 = -15 -15 + 8i + 7i = 0 Combine like terms: 8i + 7i = 15i -15 + 15i = 0 Solving -15 + 15i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15i = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 15i = 0 + 15 15i = 0 + 15 Combine like terms: 0 + 15 = 15 15i = 15 Divide each side by '15'. i = 1 Simplifying i = 1
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