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Simplifying 6u + 14 = 7u + 2u + -13 Reorder the terms: 14 + 6u = 7u + 2u + -13 Reorder the terms: 14 + 6u = -13 + 7u + 2u Combine like terms: 7u + 2u = 9u 14 + 6u = -13 + 9u Solving 14 + 6u = -13 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 14 + 6u + -9u = -13 + 9u + -9u Combine like terms: 6u + -9u = -3u 14 + -3u = -13 + 9u + -9u Combine like terms: 9u + -9u = 0 14 + -3u = -13 + 0 14 + -3u = -13 Add '-14' to each side of the equation. 14 + -14 + -3u = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -3u = -13 + -14 -3u = -13 + -14 Combine like terms: -13 + -14 = -27 -3u = -27 Divide each side by '-3'. u = 9 Simplifying u = 9
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