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Simplifying -5u + 23 = 2(u + 1) Reorder the terms: 23 + -5u = 2(u + 1) Reorder the terms: 23 + -5u = 2(1 + u) 23 + -5u = (1 * 2 + u * 2) 23 + -5u = (2 + 2u) Solving 23 + -5u = 2 + 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 + -5u + -2u = 2 + 2u + -2u Combine like terms: -5u + -2u = -7u 23 + -7u = 2 + 2u + -2u Combine like terms: 2u + -2u = 0 23 + -7u = 2 + 0 23 + -7u = 2 Add '-23' to each side of the equation. 23 + -23 + -7u = 2 + -23 Combine like terms: 23 + -23 = 0 0 + -7u = 2 + -23 -7u = 2 + -23 Combine like terms: 2 + -23 = -21 -7u = -21 Divide each side by '-7'. u = 3 Simplifying u = 3
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