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Simplifying (6 + -2i) + (11 + 6i) = 0 Remove parenthesis around (6 + -2i) 6 + -2i + (11 + 6i) = 0 Remove parenthesis around (11 + 6i) 6 + -2i + 11 + 6i = 0 Reorder the terms: 6 + 11 + -2i + 6i = 0 Combine like terms: 6 + 11 = 17 17 + -2i + 6i = 0 Combine like terms: -2i + 6i = 4i 17 + 4i = 0 Solving 17 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4i = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4i = 0 + -17 4i = 0 + -17 Combine like terms: 0 + -17 = -17 4i = -17 Divide each side by '4'. i = -4.25 Simplifying i = -4.25
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