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Simplifying -8u + 6(u + 7) = 34 Reorder the terms: -8u + 6(7 + u) = 34 -8u + (7 * 6 + u * 6) = 34 -8u + (42 + 6u) = 34 Reorder the terms: 42 + -8u + 6u = 34 Combine like terms: -8u + 6u = -2u 42 + -2u = 34 Solving 42 + -2u = 34 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 = 34 + -42 Combine like terms: 42 + -42 = 0 0 + -2u = 34 + -42 -2u = 34 + -42 Combine like terms: 34 + -42 = -8 -2u = -8 Divide each side by '-2'. u = 4 Simplifying u = 4
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