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Simplifying 38 = 6(u + 6) + -8u Reorder the terms: 38 = 6(6 + u) + -8u 38 = (6 * 6 + u * 6) + -8u 38 = (36 + 6u) + -8u Combine like terms: 6u + -8u = -2u 38 = 36 + -2u Solving 38 = 36 + -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. 38 + 2u = 36 + -2u + 2u Combine like terms: -2u + 2u = 0 38 + 2u = 36 + 0 38 + 2u = 36 Add '-38' to each side of the equation. 38 + -38 + 2u = 36 + -38 Combine like terms: 38 + -38 = 0 0 + 2u = 36 + -38 2u = 36 + -38 Combine like terms: 36 + -38 = -2 2u = -2 Divide each side by '2'. u = -1 Simplifying u = -1
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