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Simplifying -7u + 11u + 5 = 2u + 31 Reorder the terms: 5 + -7u + 11u = 2u + 31 Combine like terms: -7u + 11u = 4u 5 + 4u = 2u + 31 Reorder the terms: 5 + 4u = 31 + 2u Solving 5 + 4u = 31 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 5 + 4u + -2u = 31 + 2u + -2u Combine like terms: 4u + -2u = 2u 5 + 2u = 31 + 2u + -2u Combine like terms: 2u + -2u = 0 5 + 2u = 31 + 0 5 + 2u = 31 Add '-5' to each side of the equation. 5 + -5 + 2u = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 2u = 31 + -5 2u = 31 + -5 Combine like terms: 31 + -5 = 26 2u = 26 Divide each side by '2'. u = 13 Simplifying u = 13
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