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Simplifying 10 = -5u + 3(u + 8) Reorder the terms: 10 = -5u + 3(8 + u) 10 = -5u + (8 * 3 + u * 3) 10 = -5u + (24 + 3u) Reorder the terms: 10 = 24 + -5u + 3u Combine like terms: -5u + 3u = -2u 10 = 24 + -2u Solving 10 = 24 + -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. 10 + 2u = 24 + -2u + 2u Combine like terms: -2u + 2u = 0 10 + 2u = 24 + 0 10 + 2u = 24 Add '-10' to each side of the equation. 10 + -10 + 2u = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2u = 24 + -10 2u = 24 + -10 Combine like terms: 24 + -10 = 14 2u = 14 Divide each side by '2'. u = 7 Simplifying u = 7
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