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Simplifying 7u + 2 + -2(-2u + -1) = 2(u + -1) Reorder the terms: 7u + 2 + -2(-1 + -2u) = 2(u + -1) 7u + 2 + (-1 * -2 + -2u * -2) = 2(u + -1) 7u + 2 + (2 + 4u) = 2(u + -1) Reorder the terms: 2 + 2 + 7u + 4u = 2(u + -1) Combine like terms: 2 + 2 = 4 4 + 7u + 4u = 2(u + -1) Combine like terms: 7u + 4u = 11u 4 + 11u = 2(u + -1) Reorder the terms: 4 + 11u = 2(-1 + u) 4 + 11u = (-1 * 2 + u * 2) 4 + 11u = (-2 + 2u) Solving 4 + 11u = -2 + 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. 4 + 11u + -2u = -2 + 2u + -2u Combine like terms: 11u + -2u = 9u 4 + 9u = -2 + 2u + -2u Combine like terms: 2u + -2u = 0 4 + 9u = -2 + 0 4 + 9u = -2 Add '-4' to each side of the equation. 4 + -4 + 9u = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 9u = -2 + -4 9u = -2 + -4 Combine like terms: -2 + -4 = -6 9u = -6 Divide each side by '9'. u = -0.6666666667 Simplifying u = -0.6666666667
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