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Simplifying (12i + 48i) + (15 + 21i) = 0 Combine like terms: 12i + 48i = 60i (60i) + (15 + 21i) = 0 (60i) + (15 + 21i) = 0 Remove parenthesis around (15 + 21i) (60i) + 15 + 21i = 0 Reorder the terms: 15 + (60i) + 21i = 0 Combine like terms: (60i) + 21i = 81i 15 + 81i = 0 Solving 15 + 81i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 81i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 81i = 0 + -15 81i = 0 + -15 Combine like terms: 0 + -15 = -15 81i = -15 Divide each side by '81'. i = -0.1851851852 Simplifying i = -0.1851851852
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