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Simplifying 38 = -2u + 4(u + 5) Reorder the terms: 38 = -2u + 4(5 + u) 38 = -2u + (5 * 4 + u * 4) 38 = -2u + (20 + 4u) Reorder the terms: 38 = 20 + -2u + 4u Combine like terms: -2u + 4u = 2u 38 = 20 + 2u Solving 38 = 20 + 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 = 20 + 2u + -2u Combine like terms: 2u + -2u = 0 38 + -2u = 20 + 0 38 + -2u = 20 Add '-38' to each side of the equation. 38 + -38 + -2u = 20 + -38 Combine like terms: 38 + -38 = 0 0 + -2u = 20 + -38 -2u = 20 + -38 Combine like terms: 20 + -38 = -18 -2u = -18 Divide each side by '-2'. u = 9 Simplifying u = 9
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