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Simplifying 8u + 3(u + 2) = 7(2u + -1) + 16 Reorder the terms: 8u + 3(2 + u) = 7(2u + -1) + 16 8u + (2 * 3 + u * 3) = 7(2u + -1) + 16 8u + (6 + 3u) = 7(2u + -1) + 16 Reorder the terms: 6 + 8u + 3u = 7(2u + -1) + 16 Combine like terms: 8u + 3u = 11u 6 + 11u = 7(2u + -1) + 16 Reorder the terms: 6 + 11u = 7(-1 + 2u) + 16 6 + 11u = (-1 * 7 + 2u * 7) + 16 6 + 11u = (-7 + 14u) + 16 Reorder the terms: 6 + 11u = -7 + 16 + 14u Combine like terms: -7 + 16 = 9 6 + 11u = 9 + 14u Solving 6 + 11u = 9 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. 6 + 11u + -14u = 9 + 14u + -14u Combine like terms: 11u + -14u = -3u 6 + -3u = 9 + 14u + -14u Combine like terms: 14u + -14u = 0 6 + -3u = 9 + 0 6 + -3u = 9 Add '-6' to each side of the equation. 6 + -6 + -3u = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -3u = 9 + -6 -3u = 9 + -6 Combine like terms: 9 + -6 = 3 -3u = 3 Divide each side by '-3'. u = -1 Simplifying u = -1
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