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Simplifying (14 + -5i) + (-8 + 19i) = 0 Remove parenthesis around (14 + -5i) 14 + -5i + (-8 + 19i) = 0 Remove parenthesis around (-8 + 19i) 14 + -5i + -8 + 19i = 0 Reorder the terms: 14 + -8 + -5i + 19i = 0 Combine like terms: 14 + -8 = 6 6 + -5i + 19i = 0 Combine like terms: -5i + 19i = 14i 6 + 14i = 0 Solving 6 + 14i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 14i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 14i = 0 + -6 14i = 0 + -6 Combine like terms: 0 + -6 = -6 14i = -6 Divide each side by '14'. i = -0.4285714286 Simplifying i = -0.4285714286
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