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Simplifying (8 + 8i) + (10 + -7i) = 0 Remove parenthesis around (8 + 8i) 8 + 8i + (10 + -7i) = 0 Remove parenthesis around (10 + -7i) 8 + 8i + 10 + -7i = 0 Reorder the terms: 8 + 10 + 8i + -7i = 0 Combine like terms: 8 + 10 = 18 18 + 8i + -7i = 0 Combine like terms: 8i + -7i = 1i 18 + 1i = 0 Solving 18 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1i = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1i = 0 + -18 1i = 0 + -18 Combine like terms: 0 + -18 = -18 1i = -18 Divide each side by '1'. i = -18 Simplifying i = -18
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