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Simplifying 38 = 2(u + 7) + 2u Reorder the terms: 38 = 2(7 + u) + 2u 38 = (7 * 2 + u * 2) + 2u 38 = (14 + 2u) + 2u Combine like terms: 2u + 2u = 4u 38 = 14 + 4u Solving 38 = 14 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 38 + -4u = 14 + 4u + -4u Combine like terms: 4u + -4u = 0 38 + -4u = 14 + 0 38 + -4u = 14 Add '-38' to each side of the equation. 38 + -38 + -4u = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -4u = 14 + -38 -4u = 14 + -38 Combine like terms: 14 + -38 = -24 -4u = -24 Divide each side by '-4'. u = 6 Simplifying u = 6
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