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Simplifying (-7 + 5i) + -1(-9 + -1i) = 0 Remove parenthesis around (-7 + 5i) -7 + 5i + -1(-9 + -1i) = 0 -7 + 5i + (-9 * -1 + -1i * -1) = 0 -7 + 5i + (9 + 1i) = 0 Reorder the terms: -7 + 9 + 5i + 1i = 0 Combine like terms: -7 + 9 = 2 2 + 5i + 1i = 0 Combine like terms: 5i + 1i = 6i 2 + 6i = 0 Solving 2 + 6i = 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 + 6i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6i = 0 + -2 6i = 0 + -2 Combine like terms: 0 + -2 = -2 6i = -2 Divide each side by '6'. i = -0.3333333333 Simplifying i = -0.3333333333
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