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Simplifying (-1 + i) + (-1 + -4i) = 0 Remove parenthesis around (-1 + i) -1 + i + (-1 + -4i) = 0 Remove parenthesis around (-1 + -4i) -1 + i + -1 + -4i = 0 Reorder the terms: -1 + -1 + i + -4i = 0 Combine like terms: -1 + -1 = -2 -2 + i + -4i = 0 Combine like terms: i + -4i = -3i -2 + -3i = 0 Solving -2 + -3i = 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 + -3i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3i = 0 + 2 -3i = 0 + 2 Combine like terms: 0 + 2 = 2 -3i = 2 Divide each side by '-3'. i = -0.6666666667 Simplifying i = -0.6666666667
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