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Simplifying -5u + 4 + 8i = 43 Reorder the terms: 4 + 8i + -5u = 43 Solving 4 + 8i + -5u = 43 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8i + -4 + -5u = 43 + -4 Reorder the terms: 4 + -4 + 8i + -5u = 43 + -4 Combine like terms: 4 + -4 = 0 0 + 8i + -5u = 43 + -4 8i + -5u = 43 + -4 Combine like terms: 43 + -4 = 39 8i + -5u = 39 Add '5u' to each side of the equation. 8i + -5u + 5u = 39 + 5u Combine like terms: -5u + 5u = 0 8i + 0 = 39 + 5u 8i = 39 + 5u Divide each side by '8'. i = 4.875 + 0.625u Simplifying i = 4.875 + 0.625u
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