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Simplifying (5 + -12i) + (15 + -8i) = 0 Remove parenthesis around (5 + -12i) 5 + -12i + (15 + -8i) = 0 Remove parenthesis around (15 + -8i) 5 + -12i + 15 + -8i = 0 Reorder the terms: 5 + 15 + -12i + -8i = 0 Combine like terms: 5 + 15 = 20 20 + -12i + -8i = 0 Combine like terms: -12i + -8i = -20i 20 + -20i = 0 Solving 20 + -20i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -20i = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -20i = 0 + -20 -20i = 0 + -20 Combine like terms: 0 + -20 = -20 -20i = -20 Divide each side by '-20'. i = 1 Simplifying i = 1
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