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Simplifying 7.8i + -8 = 1.3i + 10 Reorder the terms: -8 + 7.8i = 1.3i + 10 Reorder the terms: -8 + 7.8i = 10 + 1.3i Solving -8 + 7.8i = 10 + 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 = 10 + 1.3i + -1.3i Combine like terms: 7.8i + -1.3i = 6.5i -8 + 6.5i = 10 + 1.3i + -1.3i Combine like terms: 1.3i + -1.3i = 0.0 -8 + 6.5i = 10 + 0.0 -8 + 6.5i = 10 Add '8' to each side of the equation. -8 + 8 + 6.5i = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6.5i = 10 + 8 6.5i = 10 + 8 Combine like terms: 10 + 8 = 18 6.5i = 18 Divide each side by '6.5'. i = 2.769230769 Simplifying i = 2.769230769
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