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Simplifying 8i + 12 = 5i + 4 Reorder the terms: 12 + 8i = 5i + 4 Reorder the terms: 12 + 8i = 4 + 5i Solving 12 + 8i = 4 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 12 + 8i + -5i = 4 + 5i + -5i Combine like terms: 8i + -5i = 3i 12 + 3i = 4 + 5i + -5i Combine like terms: 5i + -5i = 0 12 + 3i = 4 + 0 12 + 3i = 4 Add '-12' to each side of the equation. 12 + -12 + 3i = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 3i = 4 + -12 3i = 4 + -12 Combine like terms: 4 + -12 = -8 3i = -8 Divide each side by '3'. i = -2.666666667 Simplifying i = -2.666666667
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