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Simplifying 2u + 6 + -3(-7u + -1) = 5(u + -1) Reorder the terms: 2u + 6 + -3(-1 + -7u) = 5(u + -1) 2u + 6 + (-1 * -3 + -7u * -3) = 5(u + -1) 2u + 6 + (3 + 21u) = 5(u + -1) Reorder the terms: 6 + 3 + 2u + 21u = 5(u + -1) Combine like terms: 6 + 3 = 9 9 + 2u + 21u = 5(u + -1) Combine like terms: 2u + 21u = 23u 9 + 23u = 5(u + -1) Reorder the terms: 9 + 23u = 5(-1 + u) 9 + 23u = (-1 * 5 + u * 5) 9 + 23u = (-5 + 5u) Solving 9 + 23u = -5 + 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. 9 + 23u + -5u = -5 + 5u + -5u Combine like terms: 23u + -5u = 18u 9 + 18u = -5 + 5u + -5u Combine like terms: 5u + -5u = 0 9 + 18u = -5 + 0 9 + 18u = -5 Add '-9' to each side of the equation. 9 + -9 + 18u = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 18u = -5 + -9 18u = -5 + -9 Combine like terms: -5 + -9 = -14 18u = -14 Divide each side by '18'. u = -0.7777777778 Simplifying u = -0.7777777778
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