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Simplifying (2 + 3i) + (1 + 7) = 0 Remove parenthesis around (2 + 3i) 2 + 3i + (1 + 7) = 0 Combine like terms: 1 + 7 = 8 2 + 3i + (8) = 0 2 + 3i + 8 = 0 Reorder the terms: 2 + 8 + 3i = 0 Combine like terms: 2 + 8 = 10 10 + 3i = 0 Solving 10 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3i = 0 + -10 3i = 0 + -10 Combine like terms: 0 + -10 = -10 3i = -10 Divide each side by '3'. i = -3.333333333 Simplifying i = -3.333333333
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