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Simplifying 2(u + 6) = 4u + -8 Reorder the terms: 2(6 + u) = 4u + -8 (6 * 2 + u * 2) = 4u + -8 (12 + 2u) = 4u + -8 Reorder the terms: 12 + 2u = -8 + 4u Solving 12 + 2u = -8 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 12 + 2u + -4u = -8 + 4u + -4u Combine like terms: 2u + -4u = -2u 12 + -2u = -8 + 4u + -4u Combine like terms: 4u + -4u = 0 12 + -2u = -8 + 0 12 + -2u = -8 Add '-12' to each side of the equation. 12 + -12 + -2u = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -2u = -8 + -12 -2u = -8 + -12 Combine like terms: -8 + -12 = -20 -2u = -20 Divide each side by '-2'. u = 10 Simplifying u = 10
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