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Simplifying 38 = 4(u + 5) + 5u Reorder the terms: 38 = 4(5 + u) + 5u 38 = (5 * 4 + u * 4) + 5u 38 = (20 + 4u) + 5u Combine like terms: 4u + 5u = 9u 38 = 20 + 9u Solving 38 = 20 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 38 + -9u = 20 + 9u + -9u Combine like terms: 9u + -9u = 0 38 + -9u = 20 + 0 38 + -9u = 20 Add '-38' to each side of the equation. 38 + -38 + -9u = 20 + -38 Combine like terms: 38 + -38 = 0 0 + -9u = 20 + -38 -9u = 20 + -38 Combine like terms: 20 + -38 = -18 -9u = -18 Divide each side by '-9'. u = 2 Simplifying u = 2
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