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Simplifying u + 6u + 8 = u + 8u + 13 Reorder the terms: 8 + u + 6u = u + 8u + 13 Combine like terms: u + 6u = 7u 8 + 7u = u + 8u + 13 Reorder the terms: 8 + 7u = 13 + u + 8u Combine like terms: u + 8u = 9u 8 + 7u = 13 + 9u Solving 8 + 7u = 13 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 8 + 7u + -9u = 13 + 9u + -9u Combine like terms: 7u + -9u = -2u 8 + -2u = 13 + 9u + -9u Combine like terms: 9u + -9u = 0 8 + -2u = 13 + 0 8 + -2u = 13 Add '-8' to each side of the equation. 8 + -8 + -2u = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -2u = 13 + -8 -2u = 13 + -8 Combine like terms: 13 + -8 = 5 -2u = 5 Divide each side by '-2'. u = -2.5 Simplifying u = -2.5
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