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Simplifying (8 + 2i) + (7 + -10i) = 0 Remove parenthesis around (8 + 2i) 8 + 2i + (7 + -10i) = 0 Remove parenthesis around (7 + -10i) 8 + 2i + 7 + -10i = 0 Reorder the terms: 8 + 7 + 2i + -10i = 0 Combine like terms: 8 + 7 = 15 15 + 2i + -10i = 0 Combine like terms: 2i + -10i = -8i 15 + -8i = 0 Solving 15 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8i = 0 + -15 -8i = 0 + -15 Combine like terms: 0 + -15 = -15 -8i = -15 Divide each side by '-8'. i = 1.875 Simplifying i = 1.875
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