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Simplifying 6(u + 7) + -8u = 38 Reorder the terms: 6(7 + u) + -8u = 38 (7 * 6 + u * 6) + -8u = 38 (42 + 6u) + -8u = 38 Combine like terms: 6u + -8u = -2u 42 + -2u = 38 Solving 42 + -2u = 38 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -2u = 38 + -42 Combine like terms: 42 + -42 = 0 0 + -2u = 38 + -42 -2u = 38 + -42 Combine like terms: 38 + -42 = -4 -2u = -4 Divide each side by '-2'. u = 2 Simplifying u = 2
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