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Simplifying 8(4u + -1) + -12 = 11(2u + -6) Reorder the terms: 8(-1 + 4u) + -12 = 11(2u + -6) (-1 * 8 + 4u * 8) + -12 = 11(2u + -6) (-8 + 32u) + -12 = 11(2u + -6) Reorder the terms: -8 + -12 + 32u = 11(2u + -6) Combine like terms: -8 + -12 = -20 -20 + 32u = 11(2u + -6) Reorder the terms: -20 + 32u = 11(-6 + 2u) -20 + 32u = (-6 * 11 + 2u * 11) -20 + 32u = (-66 + 22u) Solving -20 + 32u = -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. -20 + 32u + -22u = -66 + 22u + -22u Combine like terms: 32u + -22u = 10u -20 + 10u = -66 + 22u + -22u Combine like terms: 22u + -22u = 0 -20 + 10u = -66 + 0 -20 + 10u = -66 Add '20' to each side of the equation. -20 + 20 + 10u = -66 + 20 Combine like terms: -20 + 20 = 0 0 + 10u = -66 + 20 10u = -66 + 20 Combine like terms: -66 + 20 = -46 10u = -46 Divide each side by '10'. u = -4.6 Simplifying u = -4.6
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