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Simplifying 8 = 6(u + 4) + 2u Reorder the terms: 8 = 6(4 + u) + 2u 8 = (4 * 6 + u * 6) + 2u 8 = (24 + 6u) + 2u Combine like terms: 6u + 2u = 8u 8 = 24 + 8u Solving 8 = 24 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 8 + -8u = 24 + 8u + -8u Combine like terms: 8u + -8u = 0 8 + -8u = 24 + 0 8 + -8u = 24 Add '-8' to each side of the equation. 8 + -8 + -8u = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -8u = 24 + -8 -8u = 24 + -8 Combine like terms: 24 + -8 = 16 -8u = 16 Divide each side by '-8'. u = -2 Simplifying u = -2
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