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Simplifying (8 + 2i) + (8 + 5i) + (6 + -8i) = 0 Remove parenthesis around (8 + 2i) 8 + 2i + (8 + 5i) + (6 + -8i) = 0 Remove parenthesis around (8 + 5i) 8 + 2i + 8 + 5i + (6 + -8i) = 0 Remove parenthesis around (6 + -8i) 8 + 2i + 8 + 5i + 6 + -8i = 0 Reorder the terms: 8 + 8 + 6 + 2i + 5i + -8i = 0 Combine like terms: 8 + 8 = 16 16 + 6 + 2i + 5i + -8i = 0 Combine like terms: 16 + 6 = 22 22 + 2i + 5i + -8i = 0 Combine like terms: 2i + 5i = 7i 22 + 7i + -8i = 0 Combine like terms: 7i + -8i = -1i 22 + -1i = 0 Solving 22 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1i = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1i = 0 + -22 -1i = 0 + -22 Combine like terms: 0 + -22 = -22 -1i = -22 Divide each side by '-1'. i = 22 Simplifying i = 22
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