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Simplifying 10 + -1(17u + -9) + 10u = 14(u + 2) + 9 Reorder the terms: 10 + -1(-9 + 17u) + 10u = 14(u + 2) + 9 10 + (-9 * -1 + 17u * -1) + 10u = 14(u + 2) + 9 10 + (9 + -17u) + 10u = 14(u + 2) + 9 Combine like terms: 10 + 9 = 19 19 + -17u + 10u = 14(u + 2) + 9 Combine like terms: -17u + 10u = -7u 19 + -7u = 14(u + 2) + 9 Reorder the terms: 19 + -7u = 14(2 + u) + 9 19 + -7u = (2 * 14 + u * 14) + 9 19 + -7u = (28 + 14u) + 9 Reorder the terms: 19 + -7u = 28 + 9 + 14u Combine like terms: 28 + 9 = 37 19 + -7u = 37 + 14u Solving 19 + -7u = 37 + 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. 19 + -7u + -14u = 37 + 14u + -14u Combine like terms: -7u + -14u = -21u 19 + -21u = 37 + 14u + -14u Combine like terms: 14u + -14u = 0 19 + -21u = 37 + 0 19 + -21u = 37 Add '-19' to each side of the equation. 19 + -19 + -21u = 37 + -19 Combine like terms: 19 + -19 = 0 0 + -21u = 37 + -19 -21u = 37 + -19 Combine like terms: 37 + -19 = 18 -21u = 18 Divide each side by '-21'. u = -0.8571428571 Simplifying u = -0.8571428571
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