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Simplifying (-1 + i) + (-4 + 5i) = 0 Remove parenthesis around (-1 + i) -1 + i + (-4 + 5i) = 0 Remove parenthesis around (-4 + 5i) -1 + i + -4 + 5i = 0 Reorder the terms: -1 + -4 + i + 5i = 0 Combine like terms: -1 + -4 = -5 -5 + i + 5i = 0 Combine like terms: i + 5i = 6i -5 + 6i = 0 Solving -5 + 6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6i = 0 + 5 6i = 0 + 5 Combine like terms: 0 + 5 = 5 6i = 5 Divide each side by '6'. i = 0.8333333333 Simplifying i = 0.8333333333
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