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Simplifying (7 + -1i) + -1(9 + -6i) = 0 Remove parenthesis around (7 + -1i) 7 + -1i + -1(9 + -6i) = 0 7 + -1i + (9 * -1 + -6i * -1) = 0 7 + -1i + (-9 + 6i) = 0 Reorder the terms: 7 + -9 + -1i + 6i = 0 Combine like terms: 7 + -9 = -2 -2 + -1i + 6i = 0 Combine like terms: -1i + 6i = 5i -2 + 5i = 0 Solving -2 + 5i = 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 + 5i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5i = 0 + 2 5i = 0 + 2 Combine like terms: 0 + 2 = 2 5i = 2 Divide each side by '5'. i = 0.4 Simplifying i = 0.4
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