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Simplifying u + 8 = 2u + -39 Reorder the terms: 8 + u = 2u + -39 Reorder the terms: 8 + u = -39 + 2u Solving 8 + u = -39 + 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. 8 + u + -2u = -39 + 2u + -2u Combine like terms: u + -2u = -1u 8 + -1u = -39 + 2u + -2u Combine like terms: 2u + -2u = 0 8 + -1u = -39 + 0 8 + -1u = -39 Add '-8' to each side of the equation. 8 + -8 + -1u = -39 + -8 Combine like terms: 8 + -8 = 0 0 + -1u = -39 + -8 -1u = -39 + -8 Combine like terms: -39 + -8 = -47 -1u = -47 Divide each side by '-1'. u = 47 Simplifying u = 47
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