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Simplifying 8i + 3i = 12i + 9 Combine like terms: 8i + 3i = 11i 11i = 12i + 9 Reorder the terms: 11i = 9 + 12i Solving 11i = 9 + 12i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12i' to each side of the equation. 11i + -12i = 9 + 12i + -12i Combine like terms: 11i + -12i = -1i -1i = 9 + 12i + -12i Combine like terms: 12i + -12i = 0 -1i = 9 + 0 -1i = 9 Divide each side by '-1'. i = -9 Simplifying i = -9
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