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Simplifying -2(u + -8) = -5u + 34 Reorder the terms: -2(-8 + u) = -5u + 34 (-8 * -2 + u * -2) = -5u + 34 (16 + -2u) = -5u + 34 Reorder the terms: 16 + -2u = 34 + -5u Solving 16 + -2u = 34 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 16 + -2u + 5u = 34 + -5u + 5u Combine like terms: -2u + 5u = 3u 16 + 3u = 34 + -5u + 5u Combine like terms: -5u + 5u = 0 16 + 3u = 34 + 0 16 + 3u = 34 Add '-16' to each side of the equation. 16 + -16 + 3u = 34 + -16 Combine like terms: 16 + -16 = 0 0 + 3u = 34 + -16 3u = 34 + -16 Combine like terms: 34 + -16 = 18 3u = 18 Divide each side by '3'. u = 6 Simplifying u = 6
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