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Simplifying 15 + 3(3u + -1) = 16 + (2u + 7) Reorder the terms: 15 + 3(-1 + 3u) = 16 + (2u + 7) 15 + (-1 * 3 + 3u * 3) = 16 + (2u + 7) 15 + (-3 + 9u) = 16 + (2u + 7) Combine like terms: 15 + -3 = 12 12 + 9u = 16 + (2u + 7) Reorder the terms: 12 + 9u = 16 + (7 + 2u) Remove parenthesis around (7 + 2u) 12 + 9u = 16 + 7 + 2u Combine like terms: 16 + 7 = 23 12 + 9u = 23 + 2u Solving 12 + 9u = 23 + 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. 12 + 9u + -2u = 23 + 2u + -2u Combine like terms: 9u + -2u = 7u 12 + 7u = 23 + 2u + -2u Combine like terms: 2u + -2u = 0 12 + 7u = 23 + 0 12 + 7u = 23 Add '-12' to each side of the equation. 12 + -12 + 7u = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 7u = 23 + -12 7u = 23 + -12 Combine like terms: 23 + -12 = 11 7u = 11 Divide each side by '7'. u = 1.571428571 Simplifying u = 1.571428571
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