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Simplifying 2(u + 1) + 8 = 6(2u + -4) Reorder the terms: 2(1 + u) + 8 = 6(2u + -4) (1 * 2 + u * 2) + 8 = 6(2u + -4) (2 + 2u) + 8 = 6(2u + -4) Reorder the terms: 2 + 8 + 2u = 6(2u + -4) Combine like terms: 2 + 8 = 10 10 + 2u = 6(2u + -4) Reorder the terms: 10 + 2u = 6(-4 + 2u) 10 + 2u = (-4 * 6 + 2u * 6) 10 + 2u = (-24 + 12u) Solving 10 + 2u = -24 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 10 + 2u + -12u = -24 + 12u + -12u Combine like terms: 2u + -12u = -10u 10 + -10u = -24 + 12u + -12u Combine like terms: 12u + -12u = 0 10 + -10u = -24 + 0 10 + -10u = -24 Add '-10' to each side of the equation. 10 + -10 + -10u = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -10u = -24 + -10 -10u = -24 + -10 Combine like terms: -24 + -10 = -34 -10u = -34 Divide each side by '-10'. u = 3.4 Simplifying u = 3.4
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