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Simplifying 8i + -12 = 3i + 28 Reorder the terms: -12 + 8i = 3i + 28 Reorder the terms: -12 + 8i = 28 + 3i Solving -12 + 8i = 28 + 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. -12 + 8i + -3i = 28 + 3i + -3i Combine like terms: 8i + -3i = 5i -12 + 5i = 28 + 3i + -3i Combine like terms: 3i + -3i = 0 -12 + 5i = 28 + 0 -12 + 5i = 28 Add '12' to each side of the equation. -12 + 12 + 5i = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 5i = 28 + 12 5i = 28 + 12 Combine like terms: 28 + 12 = 40 5i = 40 Divide each side by '5'. i = 8 Simplifying i = 8
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