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Simplifying (14 + 6i) + (3 + -15i) = 0 Remove parenthesis around (14 + 6i) 14 + 6i + (3 + -15i) = 0 Remove parenthesis around (3 + -15i) 14 + 6i + 3 + -15i = 0 Reorder the terms: 14 + 3 + 6i + -15i = 0 Combine like terms: 14 + 3 = 17 17 + 6i + -15i = 0 Combine like terms: 6i + -15i = -9i 17 + -9i = 0 Solving 17 + -9i = 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 + -9i = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -9i = 0 + -17 -9i = 0 + -17 Combine like terms: 0 + -17 = -17 -9i = -17 Divide each side by '-9'. i = 1.888888889 Simplifying i = 1.888888889
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