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Simplifying -8u + 34 = 3(u + 4) Reorder the terms: 34 + -8u = 3(u + 4) Reorder the terms: 34 + -8u = 3(4 + u) 34 + -8u = (4 * 3 + u * 3) 34 + -8u = (12 + 3u) Solving 34 + -8u = 12 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 34 + -8u + -3u = 12 + 3u + -3u Combine like terms: -8u + -3u = -11u 34 + -11u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 34 + -11u = 12 + 0 34 + -11u = 12 Add '-34' to each side of the equation. 34 + -34 + -11u = 12 + -34 Combine like terms: 34 + -34 = 0 0 + -11u = 12 + -34 -11u = 12 + -34 Combine like terms: 12 + -34 = -22 -11u = -22 Divide each side by '-11'. u = 2 Simplifying u = 2
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