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Simplifying (-5 + 4i) + (6 + 7i) = 0 Remove parenthesis around (-5 + 4i) -5 + 4i + (6 + 7i) = 0 Remove parenthesis around (6 + 7i) -5 + 4i + 6 + 7i = 0 Reorder the terms: -5 + 6 + 4i + 7i = 0 Combine like terms: -5 + 6 = 1 1 + 4i + 7i = 0 Combine like terms: 4i + 7i = 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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