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Simplifying 5(2u + -1) = u + 7 Reorder the terms: 5(-1 + 2u) = u + 7 (-1 * 5 + 2u * 5) = u + 7 (-5 + 10u) = u + 7 Reorder the terms: -5 + 10u = 7 + u Solving -5 + 10u = 7 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. -5 + 10u + -1u = 7 + u + -1u Combine like terms: 10u + -1u = 9u -5 + 9u = 7 + u + -1u Combine like terms: u + -1u = 0 -5 + 9u = 7 + 0 -5 + 9u = 7 Add '5' to each side of the equation. -5 + 5 + 9u = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 9u = 7 + 5 9u = 7 + 5 Combine like terms: 7 + 5 = 12 9u = 12 Divide each side by '9'. u = 1.333333333 Simplifying u = 1.333333333
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