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Simplifying 8 = 3u + 7(u + 4) Reorder the terms: 8 = 3u + 7(4 + u) 8 = 3u + (4 * 7 + u * 7) 8 = 3u + (28 + 7u) Reorder the terms: 8 = 28 + 3u + 7u Combine like terms: 3u + 7u = 10u 8 = 28 + 10u Solving 8 = 28 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. 8 + -10u = 28 + 10u + -10u Combine like terms: 10u + -10u = 0 8 + -10u = 28 + 0 8 + -10u = 28 Add '-8' to each side of the equation. 8 + -8 + -10u = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -10u = 28 + -8 -10u = 28 + -8 Combine like terms: 28 + -8 = 20 -10u = 20 Divide each side by '-10'. u = -2 Simplifying u = -2
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