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Simplifying (11 + 2i) + (3 + -14i) = 0 Remove parenthesis around (11 + 2i) 11 + 2i + (3 + -14i) = 0 Remove parenthesis around (3 + -14i) 11 + 2i + 3 + -14i = 0 Reorder the terms: 11 + 3 + 2i + -14i = 0 Combine like terms: 11 + 3 = 14 14 + 2i + -14i = 0 Combine like terms: 2i + -14i = -12i 14 + -12i = 0 Solving 14 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -12i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -12i = 0 + -14 -12i = 0 + -14 Combine like terms: 0 + -14 = -14 -12i = -14 Divide each side by '-12'. i = 1.166666667 Simplifying i = 1.166666667
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