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Simplifying 3 + 2i + 6 + -5i = 0 Reorder the terms: 3 + 6 + 2i + -5i = 0 Combine like terms: 3 + 6 = 9 9 + 2i + -5i = 0 Combine like terms: 2i + -5i = -3i 9 + -3i = 0 Solving 9 + -3i = 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 + -3i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3i = 0 + -9 -3i = 0 + -9 Combine like terms: 0 + -9 = -9 -3i = -9 Divide each side by '-3'. i = 3 Simplifying i = 3
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