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Simplifying 34 = 6(u + 4) + -8u Reorder the terms: 34 = 6(4 + u) + -8u 34 = (4 * 6 + u * 6) + -8u 34 = (24 + 6u) + -8u Combine like terms: 6u + -8u = -2u 34 = 24 + -2u Solving 34 = 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. 34 + 2u = 24 + -2u + 2u Combine like terms: -2u + 2u = 0 34 + 2u = 24 + 0 34 + 2u = 24 Add '-34' to each side of the equation. 34 + -34 + 2u = 24 + -34 Combine like terms: 34 + -34 = 0 0 + 2u = 24 + -34 2u = 24 + -34 Combine like terms: 24 + -34 = -10 2u = -10 Divide each side by '2'. u = -5 Simplifying u = -5
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