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Simplifying -5u + 23 = -3(u + -9) Reorder the terms: 23 + -5u = -3(u + -9) Reorder the terms: 23 + -5u = -3(-9 + u) 23 + -5u = (-9 * -3 + u * -3) 23 + -5u = (27 + -3u) Solving 23 + -5u = 27 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 23 + -5u + 3u = 27 + -3u + 3u Combine like terms: -5u + 3u = -2u 23 + -2u = 27 + -3u + 3u Combine like terms: -3u + 3u = 0 23 + -2u = 27 + 0 23 + -2u = 27 Add '-23' to each side of the equation. 23 + -23 + -2u = 27 + -23 Combine like terms: 23 + -23 = 0 0 + -2u = 27 + -23 -2u = 27 + -23 Combine like terms: 27 + -23 = 4 -2u = 4 Divide each side by '-2'. u = -2 Simplifying u = -2
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