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Simplifying (12 + i) + (2 + -14i) = 0 Remove parenthesis around (12 + i) 12 + i + (2 + -14i) = 0 Remove parenthesis around (2 + -14i) 12 + i + 2 + -14i = 0 Reorder the terms: 12 + 2 + i + -14i = 0 Combine like terms: 12 + 2 = 14 14 + i + -14i = 0 Combine like terms: i + -14i = -13i 14 + -13i = 0 Solving 14 + -13i = 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 + -13i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -13i = 0 + -14 -13i = 0 + -14 Combine like terms: 0 + -14 = -14 -13i = -14 Divide each side by '-13'. i = 1.076923077 Simplifying i = 1.076923077
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