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Simplifying 9i + 2 = 32 + -3i Reorder the terms: 2 + 9i = 32 + -3i Solving 2 + 9i = 32 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 2 + 9i + 3i = 32 + -3i + 3i Combine like terms: 9i + 3i = 12i 2 + 12i = 32 + -3i + 3i Combine like terms: -3i + 3i = 0 2 + 12i = 32 + 0 2 + 12i = 32 Add '-2' to each side of the equation. 2 + -2 + 12i = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 12i = 32 + -2 12i = 32 + -2 Combine like terms: 32 + -2 = 30 12i = 30 Divide each side by '12'. i = 2.5 Simplifying i = 2.5
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