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Simplifying 8(u + 1) = 2u + 38 Reorder the terms: 8(1 + u) = 2u + 38 (1 * 8 + u * 8) = 2u + 38 (8 + 8u) = 2u + 38 Reorder the terms: 8 + 8u = 38 + 2u Solving 8 + 8u = 38 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 8 + 8u + -2u = 38 + 2u + -2u Combine like terms: 8u + -2u = 6u 8 + 6u = 38 + 2u + -2u Combine like terms: 2u + -2u = 0 8 + 6u = 38 + 0 8 + 6u = 38 Add '-8' to each side of the equation. 8 + -8 + 6u = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 6u = 38 + -8 6u = 38 + -8 Combine like terms: 38 + -8 = 30 6u = 30 Divide each side by '6'. u = 5 Simplifying u = 5
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