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Simplifying 6u + 23 = -5(u + -9) Reorder the terms: 23 + 6u = -5(u + -9) Reorder the terms: 23 + 6u = -5(-9 + u) 23 + 6u = (-9 * -5 + u * -5) 23 + 6u = (45 + -5u) Solving 23 + 6u = 45 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 23 + 6u + 5u = 45 + -5u + 5u Combine like terms: 6u + 5u = 11u 23 + 11u = 45 + -5u + 5u Combine like terms: -5u + 5u = 0 23 + 11u = 45 + 0 23 + 11u = 45 Add '-23' to each side of the equation. 23 + -23 + 11u = 45 + -23 Combine like terms: 23 + -23 = 0 0 + 11u = 45 + -23 11u = 45 + -23 Combine like terms: 45 + -23 = 22 11u = 22 Divide each side by '11'. u = 2 Simplifying u = 2
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