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Simplifying u + 4u + -2 = 7u + -3u + 8 Reorder the terms: -2 + u + 4u = 7u + -3u + 8 Combine like terms: u + 4u = 5u -2 + 5u = 7u + -3u + 8 Reorder the terms: -2 + 5u = 8 + 7u + -3u Combine like terms: 7u + -3u = 4u -2 + 5u = 8 + 4u Solving -2 + 5u = 8 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -2 + 5u + -4u = 8 + 4u + -4u Combine like terms: 5u + -4u = 1u -2 + 1u = 8 + 4u + -4u Combine like terms: 4u + -4u = 0 -2 + 1u = 8 + 0 -2 + 1u = 8 Add '2' to each side of the equation. -2 + 2 + 1u = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 1u = 8 + 2 1u = 8 + 2 Combine like terms: 8 + 2 = 10 1u = 10 Divide each side by '1'. u = 10 Simplifying u = 10
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