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Simplifying 5u + 23 = 6u + 4u + -17 Reorder the terms: 23 + 5u = 6u + 4u + -17 Reorder the terms: 23 + 5u = -17 + 6u + 4u Combine like terms: 6u + 4u = 10u 23 + 5u = -17 + 10u Solving 23 + 5u = -17 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. 23 + 5u + -10u = -17 + 10u + -10u Combine like terms: 5u + -10u = -5u 23 + -5u = -17 + 10u + -10u Combine like terms: 10u + -10u = 0 23 + -5u = -17 + 0 23 + -5u = -17 Add '-23' to each side of the equation. 23 + -23 + -5u = -17 + -23 Combine like terms: 23 + -23 = 0 0 + -5u = -17 + -23 -5u = -17 + -23 Combine like terms: -17 + -23 = -40 -5u = -40 Divide each side by '-5'. u = 8 Simplifying u = 8
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