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Simplifying (5i + 8) + 5 + (3i + 7) = 0 Reorder the terms: (8 + 5i) + 5 + (3i + 7) = 0 Remove parenthesis around (8 + 5i) 8 + 5i + 5 + (3i + 7) = 0 Reorder the terms: 8 + 5i + 5 + (7 + 3i) = 0 Remove parenthesis around (7 + 3i) 8 + 5i + 5 + 7 + 3i = 0 Reorder the terms: 8 + 5 + 7 + 5i + 3i = 0 Combine like terms: 8 + 5 = 13 13 + 7 + 5i + 3i = 0 Combine like terms: 13 + 7 = 20 20 + 5i + 3i = 0 Combine like terms: 5i + 3i = 8i 20 + 8i = 0 Solving 20 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8i = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 8i = 0 + -20 8i = 0 + -20 Combine like terms: 0 + -20 = -20 8i = -20 Divide each side by '8'. i = -2.5 Simplifying i = -2.5
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