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Simplifying 24u + -27 + -8u = 2u + 10 + -9 Reorder the terms: -27 + 24u + -8u = 2u + 10 + -9 Combine like terms: 24u + -8u = 16u -27 + 16u = 2u + 10 + -9 Reorder the terms: -27 + 16u = 10 + -9 + 2u Combine like terms: 10 + -9 = 1 -27 + 16u = 1 + 2u Solving -27 + 16u = 1 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -27 + 16u + -2u = 1 + 2u + -2u Combine like terms: 16u + -2u = 14u -27 + 14u = 1 + 2u + -2u Combine like terms: 2u + -2u = 0 -27 + 14u = 1 + 0 -27 + 14u = 1 Add '27' to each side of the equation. -27 + 27 + 14u = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 14u = 1 + 27 14u = 1 + 27 Combine like terms: 1 + 27 = 28 14u = 28 Divide each side by '14'. u = 2 Simplifying u = 2
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