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Simplifying 2u + 10 = 5(u + 8) Reorder the terms: 10 + 2u = 5(u + 8) Reorder the terms: 10 + 2u = 5(8 + u) 10 + 2u = (8 * 5 + u * 5) 10 + 2u = (40 + 5u) Solving 10 + 2u = 40 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 10 + 2u + -5u = 40 + 5u + -5u Combine like terms: 2u + -5u = -3u 10 + -3u = 40 + 5u + -5u Combine like terms: 5u + -5u = 0 10 + -3u = 40 + 0 10 + -3u = 40 Add '-10' to each side of the equation. 10 + -10 + -3u = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -3u = 40 + -10 -3u = 40 + -10 Combine like terms: 40 + -10 = 30 -3u = 30 Divide each side by '-3'. u = -10 Simplifying u = -10
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