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Simplifying -2u + 14u + 3 = 8u + 27 Reorder the terms: 3 + -2u + 14u = 8u + 27 Combine like terms: -2u + 14u = 12u 3 + 12u = 8u + 27 Reorder the terms: 3 + 12u = 27 + 8u Solving 3 + 12u = 27 + 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. 3 + 12u + -8u = 27 + 8u + -8u Combine like terms: 12u + -8u = 4u 3 + 4u = 27 + 8u + -8u Combine like terms: 8u + -8u = 0 3 + 4u = 27 + 0 3 + 4u = 27 Add '-3' to each side of the equation. 3 + -3 + 4u = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 4u = 27 + -3 4u = 27 + -3 Combine like terms: 27 + -3 = 24 4u = 24 Divide each side by '4'. u = 6 Simplifying u = 6
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