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Simplifying 8(u + 4) = 5u + 38 Reorder the terms: 8(4 + u) = 5u + 38 (4 * 8 + u * 8) = 5u + 38 (32 + 8u) = 5u + 38 Reorder the terms: 32 + 8u = 38 + 5u Solving 32 + 8u = 38 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 32 + 8u + -5u = 38 + 5u + -5u Combine like terms: 8u + -5u = 3u 32 + 3u = 38 + 5u + -5u Combine like terms: 5u + -5u = 0 32 + 3u = 38 + 0 32 + 3u = 38 Add '-32' to each side of the equation. 32 + -32 + 3u = 38 + -32 Combine like terms: 32 + -32 = 0 0 + 3u = 38 + -32 3u = 38 + -32 Combine like terms: 38 + -32 = 6 3u = 6 Divide each side by '3'. u = 2 Simplifying u = 2
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