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Simplifying -5(4u + -4) + 8u = 2(u + 8) Reorder the terms: -5(-4 + 4u) + 8u = 2(u + 8) (-4 * -5 + 4u * -5) + 8u = 2(u + 8) (20 + -20u) + 8u = 2(u + 8) Combine like terms: -20u + 8u = -12u 20 + -12u = 2(u + 8) Reorder the terms: 20 + -12u = 2(8 + u) 20 + -12u = (8 * 2 + u * 2) 20 + -12u = (16 + 2u) Solving 20 + -12u = 16 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 20 + -12u + -2u = 16 + 2u + -2u Combine like terms: -12u + -2u = -14u 20 + -14u = 16 + 2u + -2u Combine like terms: 2u + -2u = 0 20 + -14u = 16 + 0 20 + -14u = 16 Add '-20' to each side of the equation. 20 + -20 + -14u = 16 + -20 Combine like terms: 20 + -20 = 0 0 + -14u = 16 + -20 -14u = 16 + -20 Combine like terms: 16 + -20 = -4 -14u = -4 Divide each side by '-14'. u = 0.2857142857 Simplifying u = 0.2857142857
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