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