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Simplifying 6(u + 4) = 4u + 32 Reorder the terms: 6(4 + u) = 4u + 32 (4 * 6 + u * 6) = 4u + 32 (24 + 6u) = 4u + 32 Reorder the terms: 24 + 6u = 32 + 4u Solving 24 + 6u = 32 + 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. 24 + 6u + -4u = 32 + 4u + -4u Combine like terms: 6u + -4u = 2u 24 + 2u = 32 + 4u + -4u Combine like terms: 4u + -4u = 0 24 + 2u = 32 + 0 24 + 2u = 32 Add '-24' to each side of the equation. 24 + -24 + 2u = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 2u = 32 + -24 2u = 32 + -24 Combine like terms: 32 + -24 = 8 2u = 8 Divide each side by '2'. u = 4 Simplifying u = 4
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