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Simplifying 9(4u + -1) + -12u = 11(2u + -6) Reorder the terms: 9(-1 + 4u) + -12u = 11(2u + -6) (-1 * 9 + 4u * 9) + -12u = 11(2u + -6) (-9 + 36u) + -12u = 11(2u + -6) Combine like terms: 36u + -12u = 24u -9 + 24u = 11(2u + -6) Reorder the terms: -9 + 24u = 11(-6 + 2u) -9 + 24u = (-6 * 11 + 2u * 11) -9 + 24u = (-66 + 22u) Solving -9 + 24u = -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. -9 + 24u + -22u = -66 + 22u + -22u Combine like terms: 24u + -22u = 2u -9 + 2u = -66 + 22u + -22u Combine like terms: 22u + -22u = 0 -9 + 2u = -66 + 0 -9 + 2u = -66 Add '9' to each side of the equation. -9 + 9 + 2u = -66 + 9 Combine like terms: -9 + 9 = 0 0 + 2u = -66 + 9 2u = -66 + 9 Combine like terms: -66 + 9 = -57 2u = -57 Divide each side by '2'. u = -28.5 Simplifying u = -28.5
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