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Simplifying 6u + 8 = 4(u + 6) Reorder the terms: 8 + 6u = 4(u + 6) Reorder the terms: 8 + 6u = 4(6 + u) 8 + 6u = (6 * 4 + u * 4) 8 + 6u = (24 + 4u) Solving 8 + 6u = 24 + 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. 8 + 6u + -4u = 24 + 4u + -4u Combine like terms: 6u + -4u = 2u 8 + 2u = 24 + 4u + -4u Combine like terms: 4u + -4u = 0 8 + 2u = 24 + 0 8 + 2u = 24 Add '-8' to each side of the equation. 8 + -8 + 2u = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 2u = 24 + -8 2u = 24 + -8 Combine like terms: 24 + -8 = 16 2u = 16 Divide each side by '2'. u = 8 Simplifying u = 8
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