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Simplifying (-1 + i) + -1(7 + -5i) = 0 Remove parenthesis around (-1 + i) -1 + i + -1(7 + -5i) = 0 -1 + i + (7 * -1 + -5i * -1) = 0 -1 + i + (-7 + 5i) = 0 Reorder the terms: -1 + -7 + i + 5i = 0 Combine like terms: -1 + -7 = -8 -8 + i + 5i = 0 Combine like terms: i + 5i = 6i -8 + 6i = 0 Solving -8 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 6i = 0 + 8 6i = 0 + 8 Combine like terms: 0 + 8 = 8 6i = 8 Divide each side by '6'. i = 1.333333333 Simplifying i = 1.333333333
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