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Simplifying 38 = 8(u + 6) + -6u Reorder the terms: 38 = 8(6 + u) + -6u 38 = (6 * 8 + u * 8) + -6u 38 = (48 + 8u) + -6u Combine like terms: 8u + -6u = 2u 38 = 48 + 2u Solving 38 = 48 + 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 = 48 + 2u + -2u Combine like terms: 2u + -2u = 0 38 + -2u = 48 + 0 38 + -2u = 48 Add '-38' to each side of the equation. 38 + -38 + -2u = 48 + -38 Combine like terms: 38 + -38 = 0 0 + -2u = 48 + -38 -2u = 48 + -38 Combine like terms: 48 + -38 = 10 -2u = 10 Divide each side by '-2'. u = -5 Simplifying u = -5
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