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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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