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