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Simplifying (-4 + i) + -1(3 + -5i) = 0 Remove parenthesis around (-4 + i) -4 + i + -1(3 + -5i) = 0 -4 + i + (3 * -1 + -5i * -1) = 0 -4 + i + (-3 + 5i) = 0 Reorder the terms: -4 + -3 + i + 5i = 0 Combine like terms: -4 + -3 = -7 -7 + i + 5i = 0 Combine like terms: i + 5i = 6i -7 + 6i = 0 Solving -7 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6i = 0 + 7 6i = 0 + 7 Combine like terms: 0 + 7 = 7 6i = 7 Divide each side by '6'. i = 1.166666667 Simplifying i = 1.166666667
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