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Simplifying 7u + 9 + -5(-2u + -1) = 2(u + -2) Reorder the terms: 7u + 9 + -5(-1 + -2u) = 2(u + -2) 7u + 9 + (-1 * -5 + -2u * -5) = 2(u + -2) 7u + 9 + (5 + 10u) = 2(u + -2) Reorder the terms: 9 + 5 + 7u + 10u = 2(u + -2) Combine like terms: 9 + 5 = 14 14 + 7u + 10u = 2(u + -2) Combine like terms: 7u + 10u = 17u 14 + 17u = 2(u + -2) Reorder the terms: 14 + 17u = 2(-2 + u) 14 + 17u = (-2 * 2 + u * 2) 14 + 17u = (-4 + 2u) Solving 14 + 17u = -4 + 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. 14 + 17u + -2u = -4 + 2u + -2u Combine like terms: 17u + -2u = 15u 14 + 15u = -4 + 2u + -2u Combine like terms: 2u + -2u = 0 14 + 15u = -4 + 0 14 + 15u = -4 Add '-14' to each side of the equation. 14 + -14 + 15u = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 15u = -4 + -14 15u = -4 + -14 Combine like terms: -4 + -14 = -18 15u = -18 Divide each side by '15'. u = -1.2 Simplifying u = -1.2
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