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Simplifying 5(u + 25) = 8u + 1 Reorder the terms: 5(25 + u) = 8u + 1 (25 * 5 + u * 5) = 8u + 1 (125 + 5u) = 8u + 1 Reorder the terms: 125 + 5u = 1 + 8u Solving 125 + 5u = 1 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 125 + 5u + -8u = 1 + 8u + -8u Combine like terms: 5u + -8u = -3u 125 + -3u = 1 + 8u + -8u Combine like terms: 8u + -8u = 0 125 + -3u = 1 + 0 125 + -3u = 1 Add '-125' to each side of the equation. 125 + -125 + -3u = 1 + -125 Combine like terms: 125 + -125 = 0 0 + -3u = 1 + -125 -3u = 1 + -125 Combine like terms: 1 + -125 = -124 -3u = -124 Divide each side by '-3'. u = 41.33333333 Simplifying u = 41.33333333
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