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Simplifying 23 = 5(u + 7) + -7u Reorder the terms: 23 = 5(7 + u) + -7u 23 = (7 * 5 + u * 5) + -7u 23 = (35 + 5u) + -7u Combine like terms: 5u + -7u = -2u 23 = 35 + -2u Solving 23 = 35 + -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. 23 + 2u = 35 + -2u + 2u Combine like terms: -2u + 2u = 0 23 + 2u = 35 + 0 23 + 2u = 35 Add '-23' to each side of the equation. 23 + -23 + 2u = 35 + -23 Combine like terms: 23 + -23 = 0 0 + 2u = 35 + -23 2u = 35 + -23 Combine like terms: 35 + -23 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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