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Simplifying 8(4u + -1) + -12u = 11(2u + -6) Reorder the terms: 8(-1 + 4u) + -12u = 11(2u + -6) (-1 * 8 + 4u * 8) + -12u = 11(2u + -6) (-8 + 32u) + -12u = 11(2u + -6) Combine like terms: 32u + -12u = 20u -8 + 20u = 11(2u + -6) Reorder the terms: -8 + 20u = 11(-6 + 2u) -8 + 20u = (-6 * 11 + 2u * 11) -8 + 20u = (-66 + 22u) Solving -8 + 20u = -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. -8 + 20u + -22u = -66 + 22u + -22u Combine like terms: 20u + -22u = -2u -8 + -2u = -66 + 22u + -22u Combine like terms: 22u + -22u = 0 -8 + -2u = -66 + 0 -8 + -2u = -66 Add '8' to each side of the equation. -8 + 8 + -2u = -66 + 8 Combine like terms: -8 + 8 = 0 0 + -2u = -66 + 8 -2u = -66 + 8 Combine like terms: -66 + 8 = -58 -2u = -58 Divide each side by '-2'. u = 29 Simplifying u = 29
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