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Simplifying (1 + 7i) + (9 + -1) = 0 Remove parenthesis around (1 + 7i) 1 + 7i + (9 + -1) = 0 Combine like terms: 9 + -1 = 8 1 + 7i + (8) = 0 1 + 7i + 8 = 0 Reorder the terms: 1 + 8 + 7i = 0 Combine like terms: 1 + 8 = 9 9 + 7i = 0 Solving 9 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7i = 0 + -9 7i = 0 + -9 Combine like terms: 0 + -9 = -9 7i = -9 Divide each side by '7'. i = -1.285714286 Simplifying i = -1.285714286
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