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Simplifying -3(u + -7) = 8u + -23 Reorder the terms: -3(-7 + u) = 8u + -23 (-7 * -3 + u * -3) = 8u + -23 (21 + -3u) = 8u + -23 Reorder the terms: 21 + -3u = -23 + 8u Solving 21 + -3u = -23 + 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. 21 + -3u + -8u = -23 + 8u + -8u Combine like terms: -3u + -8u = -11u 21 + -11u = -23 + 8u + -8u Combine like terms: 8u + -8u = 0 21 + -11u = -23 + 0 21 + -11u = -23 Add '-21' to each side of the equation. 21 + -21 + -11u = -23 + -21 Combine like terms: 21 + -21 = 0 0 + -11u = -23 + -21 -11u = -23 + -21 Combine like terms: -23 + -21 = -44 -11u = -44 Divide each side by '-11'. u = 4 Simplifying u = 4
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