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Simplifying (-6 + 4i) + (3 + 7i) = 0 Remove parenthesis around (-6 + 4i) -6 + 4i + (3 + 7i) = 0 Remove parenthesis around (3 + 7i) -6 + 4i + 3 + 7i = 0 Reorder the terms: -6 + 3 + 4i + 7i = 0 Combine like terms: -6 + 3 = -3 -3 + 4i + 7i = 0 Combine like terms: 4i + 7i = 11i -3 + 11i = 0 Solving -3 + 11i = 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 + 11i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 11i = 0 + 3 11i = 0 + 3 Combine like terms: 0 + 3 = 3 11i = 3 Divide each side by '11'. i = 0.2727272727 Simplifying i = 0.2727272727
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