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Simplifying 4(u + 2) + 2 = 2(u + 6) Reorder the terms: 4(2 + u) + 2 = 2(u + 6) (2 * 4 + u * 4) + 2 = 2(u + 6) (8 + 4u) + 2 = 2(u + 6) Reorder the terms: 8 + 2 + 4u = 2(u + 6) Combine like terms: 8 + 2 = 10 10 + 4u = 2(u + 6) Reorder the terms: 10 + 4u = 2(6 + u) 10 + 4u = (6 * 2 + u * 2) 10 + 4u = (12 + 2u) Solving 10 + 4u = 12 + 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 + 4u + -2u = 12 + 2u + -2u Combine like terms: 4u + -2u = 2u 10 + 2u = 12 + 2u + -2u Combine like terms: 2u + -2u = 0 10 + 2u = 12 + 0 10 + 2u = 12 Add '-10' to each side of the equation. 10 + -10 + 2u = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2u = 12 + -10 2u = 12 + -10 Combine like terms: 12 + -10 = 2 2u = 2 Divide each side by '2'. u = 1 Simplifying u = 1
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