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Simplifying (-12 + 48) + (15 + 21i) = 0 Combine like terms: -12 + 48 = 36 (36) + (15 + 21i) = 0 36 + (15 + 21i) = 0 Remove parenthesis around (15 + 21i) 36 + 15 + 21i = 0 Combine like terms: 36 + 15 = 51 51 + 21i = 0 Solving 51 + 21i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 21i = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 21i = 0 + -51 21i = 0 + -51 Combine like terms: 0 + -51 = -51 21i = -51 Divide each side by '21'. i = -2.428571429 Simplifying i = -2.428571429
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