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Simplifying 14 + 5u + -11 = 6(2u + -6) Reorder the terms: 14 + -11 + 5u = 6(2u + -6) Combine like terms: 14 + -11 = 3 3 + 5u = 6(2u + -6) Reorder the terms: 3 + 5u = 6(-6 + 2u) 3 + 5u = (-6 * 6 + 2u * 6) 3 + 5u = (-36 + 12u) Solving 3 + 5u = -36 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 3 + 5u + -12u = -36 + 12u + -12u Combine like terms: 5u + -12u = -7u 3 + -7u = -36 + 12u + -12u Combine like terms: 12u + -12u = 0 3 + -7u = -36 + 0 3 + -7u = -36 Add '-3' to each side of the equation. 3 + -3 + -7u = -36 + -3 Combine like terms: 3 + -3 = 0 0 + -7u = -36 + -3 -7u = -36 + -3 Combine like terms: -36 + -3 = -39 -7u = -39 Divide each side by '-7'. u = 5.571428571 Simplifying u = 5.571428571
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