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Simplifying 5(u + 4) = 8u + 5 Reorder the terms: 5(4 + u) = 8u + 5 (4 * 5 + u * 5) = 8u + 5 (20 + 5u) = 8u + 5 Reorder the terms: 20 + 5u = 5 + 8u Solving 20 + 5u = 5 + 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. 20 + 5u + -8u = 5 + 8u + -8u Combine like terms: 5u + -8u = -3u 20 + -3u = 5 + 8u + -8u Combine like terms: 8u + -8u = 0 20 + -3u = 5 + 0 20 + -3u = 5 Add '-20' to each side of the equation. 20 + -20 + -3u = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -3u = 5 + -20 -3u = 5 + -20 Combine like terms: 5 + -20 = -15 -3u = -15 Divide each side by '-3'. u = 5 Simplifying u = 5
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