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Simplifying 5u + 23 = 9(u + -1) Reorder the terms: 23 + 5u = 9(u + -1) Reorder the terms: 23 + 5u = 9(-1 + u) 23 + 5u = (-1 * 9 + u * 9) 23 + 5u = (-9 + 9u) Solving 23 + 5u = -9 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 23 + 5u + -9u = -9 + 9u + -9u Combine like terms: 5u + -9u = -4u 23 + -4u = -9 + 9u + -9u Combine like terms: 9u + -9u = 0 23 + -4u = -9 + 0 23 + -4u = -9 Add '-23' to each side of the equation. 23 + -23 + -4u = -9 + -23 Combine like terms: 23 + -23 = 0 0 + -4u = -9 + -23 -4u = -9 + -23 Combine like terms: -9 + -23 = -32 -4u = -32 Divide each side by '-4'. u = 8 Simplifying u = 8
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