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Simplifying 2(u + 4) + 6u = 32 Reorder the terms: 2(4 + u) + 6u = 32 (4 * 2 + u * 2) + 6u = 32 (8 + 2u) + 6u = 32 Combine like terms: 2u + 6u = 8u 8 + 8u = 32 Solving 8 + 8u = 32 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8u = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8u = 32 + -8 8u = 32 + -8 Combine like terms: 32 + -8 = 24 8u = 24 Divide each side by '8'. u = 3 Simplifying u = 3
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