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Simplifying 6(u + 2) = 4(u + 15) Reorder the terms: 6(2 + u) = 4(u + 15) (2 * 6 + u * 6) = 4(u + 15) (12 + 6u) = 4(u + 15) Reorder the terms: 12 + 6u = 4(15 + u) 12 + 6u = (15 * 4 + u * 4) 12 + 6u = (60 + 4u) Solving 12 + 6u = 60 + 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. 12 + 6u + -4u = 60 + 4u + -4u Combine like terms: 6u + -4u = 2u 12 + 2u = 60 + 4u + -4u Combine like terms: 4u + -4u = 0 12 + 2u = 60 + 0 12 + 2u = 60 Add '-12' to each side of the equation. 12 + -12 + 2u = 60 + -12 Combine like terms: 12 + -12 = 0 0 + 2u = 60 + -12 2u = 60 + -12 Combine like terms: 60 + -12 = 48 2u = 48 Divide each side by '2'. u = 24 Simplifying u = 24
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