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Simplifying 7.8i + -8 = 1.3i + 2 Reorder the terms: -8 + 7.8i = 1.3i + 2 Reorder the terms: -8 + 7.8i = 2 + 1.3i Solving -8 + 7.8i = 2 + 1.3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1.3i' to each side of the equation. -8 + 7.8i + -1.3i = 2 + 1.3i + -1.3i Combine like terms: 7.8i + -1.3i = 6.5i -8 + 6.5i = 2 + 1.3i + -1.3i Combine like terms: 1.3i + -1.3i = 0.0 -8 + 6.5i = 2 + 0.0 -8 + 6.5i = 2 Add '8' to each side of the equation. -8 + 8 + 6.5i = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 6.5i = 2 + 8 6.5i = 2 + 8 Combine like terms: 2 + 8 = 10 6.5i = 10 Divide each side by '6.5'. i = 1.538461538 Simplifying i = 1.538461538
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