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Simplifying (12 + -3i) + (9 + 2i) = 0 Remove parenthesis around (12 + -3i) 12 + -3i + (9 + 2i) = 0 Remove parenthesis around (9 + 2i) 12 + -3i + 9 + 2i = 0 Reorder the terms: 12 + 9 + -3i + 2i = 0 Combine like terms: 12 + 9 = 21 21 + -3i + 2i = 0 Combine like terms: -3i + 2i = -1i 21 + -1i = 0 Solving 21 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1i = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1i = 0 + -21 -1i = 0 + -21 Combine like terms: 0 + -21 = -21 -1i = -21 Divide each side by '-1'. i = 21 Simplifying i = 21
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