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