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Simplifying -2(6u + -6) + u = 3(u + 8) Reorder the terms: -2(-6 + 6u) + u = 3(u + 8) (-6 * -2 + 6u * -2) + u = 3(u + 8) (12 + -12u) + u = 3(u + 8) Combine like terms: -12u + u = -11u 12 + -11u = 3(u + 8) Reorder the terms: 12 + -11u = 3(8 + u) 12 + -11u = (8 * 3 + u * 3) 12 + -11u = (24 + 3u) Solving 12 + -11u = 24 + 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. 12 + -11u + -3u = 24 + 3u + -3u Combine like terms: -11u + -3u = -14u 12 + -14u = 24 + 3u + -3u Combine like terms: 3u + -3u = 0 12 + -14u = 24 + 0 12 + -14u = 24 Add '-12' to each side of the equation. 12 + -12 + -14u = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -14u = 24 + -12 -14u = 24 + -12 Combine like terms: 24 + -12 = 12 -14u = 12 Divide each side by '-14'. u = -0.8571428571 Simplifying u = -0.8571428571
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