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Simplifying (-6 + -5i) + (5 + -6i) = 0 Remove parenthesis around (-6 + -5i) -6 + -5i + (5 + -6i) = 0 Remove parenthesis around (5 + -6i) -6 + -5i + 5 + -6i = 0 Reorder the terms: -6 + 5 + -5i + -6i = 0 Combine like terms: -6 + 5 = -1 -1 + -5i + -6i = 0 Combine like terms: -5i + -6i = -11i -1 + -11i = 0 Solving -1 + -11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -11i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -11i = 0 + 1 -11i = 0 + 1 Combine like terms: 0 + 1 = 1 -11i = 1 Divide each side by '-11'. i = -0.09090909091 Simplifying i = -0.09090909091
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