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Simplifying 5(u + 6) = 2u + 39 Reorder the terms: 5(6 + u) = 2u + 39 (6 * 5 + u * 5) = 2u + 39 (30 + 5u) = 2u + 39 Reorder the terms: 30 + 5u = 39 + 2u Solving 30 + 5u = 39 + 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. 30 + 5u + -2u = 39 + 2u + -2u Combine like terms: 5u + -2u = 3u 30 + 3u = 39 + 2u + -2u Combine like terms: 2u + -2u = 0 30 + 3u = 39 + 0 30 + 3u = 39 Add '-30' to each side of the equation. 30 + -30 + 3u = 39 + -30 Combine like terms: 30 + -30 = 0 0 + 3u = 39 + -30 3u = 39 + -30 Combine like terms: 39 + -30 = 9 3u = 9 Divide each side by '3'. u = 3 Simplifying u = 3
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