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Simplifying 9u + -4u + 23 = 8u + -19 Reorder the terms: 23 + 9u + -4u = 8u + -19 Combine like terms: 9u + -4u = 5u 23 + 5u = 8u + -19 Reorder the terms: 23 + 5u = -19 + 8u Solving 23 + 5u = -19 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 23 + 5u + -8u = -19 + 8u + -8u Combine like terms: 5u + -8u = -3u 23 + -3u = -19 + 8u + -8u Combine like terms: 8u + -8u = 0 23 + -3u = -19 + 0 23 + -3u = -19 Add '-23' to each side of the equation. 23 + -23 + -3u = -19 + -23 Combine like terms: 23 + -23 = 0 0 + -3u = -19 + -23 -3u = -19 + -23 Combine like terms: -19 + -23 = -42 -3u = -42 Divide each side by '-3'. u = 14 Simplifying u = 14
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