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Simplifying (-2 + -5i) + (-1 + 4i) = 0 Remove parenthesis around (-2 + -5i) -2 + -5i + (-1 + 4i) = 0 Remove parenthesis around (-1 + 4i) -2 + -5i + -1 + 4i = 0 Reorder the terms: -2 + -1 + -5i + 4i = 0 Combine like terms: -2 + -1 = -3 -3 + -5i + 4i = 0 Combine like terms: -5i + 4i = -1i -3 + -1i = 0 Solving -3 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1i = 0 + 3 -1i = 0 + 3 Combine like terms: 0 + 3 = 3 -1i = 3 Divide each side by '-1'. i = -3 Simplifying i = -3
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