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Simplifying 6(u + 5) = 4u + 48 Reorder the terms: 6(5 + u) = 4u + 48 (5 * 6 + u * 6) = 4u + 48 (30 + 6u) = 4u + 48 Reorder the terms: 30 + 6u = 48 + 4u Solving 30 + 6u = 48 + 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. 30 + 6u + -4u = 48 + 4u + -4u Combine like terms: 6u + -4u = 2u 30 + 2u = 48 + 4u + -4u Combine like terms: 4u + -4u = 0 30 + 2u = 48 + 0 30 + 2u = 48 Add '-30' to each side of the equation. 30 + -30 + 2u = 48 + -30 Combine like terms: 30 + -30 = 0 0 + 2u = 48 + -30 2u = 48 + -30 Combine like terms: 48 + -30 = 18 2u = 18 Divide each side by '2'. u = 9 Simplifying u = 9
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