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Simplifying (12 + -10i) + (4 + 8i) = 0 Remove parenthesis around (12 + -10i) 12 + -10i + (4 + 8i) = 0 Remove parenthesis around (4 + 8i) 12 + -10i + 4 + 8i = 0 Reorder the terms: 12 + 4 + -10i + 8i = 0 Combine like terms: 12 + 4 = 16 16 + -10i + 8i = 0 Combine like terms: -10i + 8i = -2i 16 + -2i = 0 Solving 16 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2i = 0 + -16 -2i = 0 + -16 Combine like terms: 0 + -16 = -16 -2i = -16 Divide each side by '-2'. i = 8 Simplifying i = 8
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