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