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Simplifying 2(4u + -1) + -12u = 11(2u + -6) Reorder the terms: 2(-1 + 4u) + -12u = 11(2u + -6) (-1 * 2 + 4u * 2) + -12u = 11(2u + -6) (-2 + 8u) + -12u = 11(2u + -6) Combine like terms: 8u + -12u = -4u -2 + -4u = 11(2u + -6) Reorder the terms: -2 + -4u = 11(-6 + 2u) -2 + -4u = (-6 * 11 + 2u * 11) -2 + -4u = (-66 + 22u) Solving -2 + -4u = -66 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. -2 + -4u + -22u = -66 + 22u + -22u Combine like terms: -4u + -22u = -26u -2 + -26u = -66 + 22u + -22u Combine like terms: 22u + -22u = 0 -2 + -26u = -66 + 0 -2 + -26u = -66 Add '2' to each side of the equation. -2 + 2 + -26u = -66 + 2 Combine like terms: -2 + 2 = 0 0 + -26u = -66 + 2 -26u = -66 + 2 Combine like terms: -66 + 2 = -64 -26u = -64 Divide each side by '-26'. u = 2.461538462 Simplifying u = 2.461538462
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