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Simplifying 10 + 3i + 7 + -5i = 0 Reorder the terms: 10 + 7 + 3i + -5i = 0 Combine like terms: 10 + 7 = 17 17 + 3i + -5i = 0 Combine like terms: 3i + -5i = -2i 17 + -2i = 0 Solving 17 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2i = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2i = 0 + -17 -2i = 0 + -17 Combine like terms: 0 + -17 = -17 -2i = -17 Divide each side by '-2'. i = 8.5 Simplifying i = 8.5
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