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Simplifying -2(8u + -5) + 4u = 2(u + 3) Reorder the terms: -2(-5 + 8u) + 4u = 2(u + 3) (-5 * -2 + 8u * -2) + 4u = 2(u + 3) (10 + -16u) + 4u = 2(u + 3) Combine like terms: -16u + 4u = -12u 10 + -12u = 2(u + 3) Reorder the terms: 10 + -12u = 2(3 + u) 10 + -12u = (3 * 2 + u * 2) 10 + -12u = (6 + 2u) Solving 10 + -12u = 6 + 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. 10 + -12u + -2u = 6 + 2u + -2u Combine like terms: -12u + -2u = -14u 10 + -14u = 6 + 2u + -2u Combine like terms: 2u + -2u = 0 10 + -14u = 6 + 0 10 + -14u = 6 Add '-10' to each side of the equation. 10 + -10 + -14u = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -14u = 6 + -10 -14u = 6 + -10 Combine like terms: 6 + -10 = -4 -14u = -4 Divide each side by '-14'. u = 0.2857142857 Simplifying u = 0.2857142857
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