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Simplifying 4 = 6(u + 3) + -8u Reorder the terms: 4 = 6(3 + u) + -8u 4 = (3 * 6 + u * 6) + -8u 4 = (18 + 6u) + -8u Combine like terms: 6u + -8u = -2u 4 = 18 + -2u Solving 4 = 18 + -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 = 18 + -2u + 2u Combine like terms: -2u + 2u = 0 4 + 2u = 18 + 0 4 + 2u = 18 Add '-4' to each side of the equation. 4 + -4 + 2u = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 2u = 18 + -4 2u = 18 + -4 Combine like terms: 18 + -4 = 14 2u = 14 Divide each side by '2'. u = 7 Simplifying u = 7
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