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Simplifying -2(2u + -1) + 9u = 5 + 2(7u + -3) Reorder the terms: -2(-1 + 2u) + 9u = 5 + 2(7u + -3) (-1 * -2 + 2u * -2) + 9u = 5 + 2(7u + -3) (2 + -4u) + 9u = 5 + 2(7u + -3) Combine like terms: -4u + 9u = 5u 2 + 5u = 5 + 2(7u + -3) Reorder the terms: 2 + 5u = 5 + 2(-3 + 7u) 2 + 5u = 5 + (-3 * 2 + 7u * 2) 2 + 5u = 5 + (-6 + 14u) Combine like terms: 5 + -6 = -1 2 + 5u = -1 + 14u Solving 2 + 5u = -1 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. 2 + 5u + -14u = -1 + 14u + -14u Combine like terms: 5u + -14u = -9u 2 + -9u = -1 + 14u + -14u Combine like terms: 14u + -14u = 0 2 + -9u = -1 + 0 2 + -9u = -1 Add '-2' to each side of the equation. 2 + -2 + -9u = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -9u = -1 + -2 -9u = -1 + -2 Combine like terms: -1 + -2 = -3 -9u = -3 Divide each side by '-9'. u = 0.3333333333 Simplifying u = 0.3333333333
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