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Simplifying (14 + 10i) + (-4 + -18i) = 0 Remove parenthesis around (14 + 10i) 14 + 10i + (-4 + -18i) = 0 Remove parenthesis around (-4 + -18i) 14 + 10i + -4 + -18i = 0 Reorder the terms: 14 + -4 + 10i + -18i = 0 Combine like terms: 14 + -4 = 10 10 + 10i + -18i = 0 Combine like terms: 10i + -18i = -8i 10 + -8i = 0 Solving 10 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -8i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -8i = 0 + -10 -8i = 0 + -10 Combine like terms: 0 + -10 = -10 -8i = -10 Divide each side by '-8'. i = 1.25 Simplifying i = 1.25
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