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Simplifying (9 + -7i) + -1(10 + -6i) = 0 Remove parenthesis around (9 + -7i) 9 + -7i + -1(10 + -6i) = 0 9 + -7i + (10 * -1 + -6i * -1) = 0 9 + -7i + (-10 + 6i) = 0 Reorder the terms: 9 + -10 + -7i + 6i = 0 Combine like terms: 9 + -10 = -1 -1 + -7i + 6i = 0 Combine like terms: -7i + 6i = -1i -1 + -1i = 0 Solving -1 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1i = 0 + 1 -1i = 0 + 1 Combine like terms: 0 + 1 = 1 -1i = 1 Divide each side by '-1'. i = -1 Simplifying i = -1
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