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Simplifying (10 + 7i) + (12 + -8i) = 0 Remove parenthesis around (10 + 7i) 10 + 7i + (12 + -8i) = 0 Remove parenthesis around (12 + -8i) 10 + 7i + 12 + -8i = 0 Reorder the terms: 10 + 12 + 7i + -8i = 0 Combine like terms: 10 + 12 = 22 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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