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Simplifying 6 = 6(u + 4) + -8u Reorder the terms: 6 = 6(4 + u) + -8u 6 = (4 * 6 + u * 6) + -8u 6 = (24 + 6u) + -8u Combine like terms: 6u + -8u = -2u 6 = 24 + -2u Solving 6 = 24 + -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. 6 + 2u = 24 + -2u + 2u Combine like terms: -2u + 2u = 0 6 + 2u = 24 + 0 6 + 2u = 24 Add '-6' to each side of the equation. 6 + -6 + 2u = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 2u = 24 + -6 2u = 24 + -6 Combine like terms: 24 + -6 = 18 2u = 18 Divide each side by '2'. u = 9 Simplifying u = 9
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