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Simplifying 34 = 3u + 8(u + -4) Reorder the terms: 34 = 3u + 8(-4 + u) 34 = 3u + (-4 * 8 + u * 8) 34 = 3u + (-32 + 8u) Reorder the terms: 34 = -32 + 3u + 8u Combine like terms: 3u + 8u = 11u 34 = -32 + 11u Solving 34 = -32 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. 34 + -11u = -32 + 11u + -11u Combine like terms: 11u + -11u = 0 34 + -11u = -32 + 0 34 + -11u = -32 Add '-34' to each side of the equation. 34 + -34 + -11u = -32 + -34 Combine like terms: 34 + -34 = 0 0 + -11u = -32 + -34 -11u = -32 + -34 Combine like terms: -32 + -34 = -66 -11u = -66 Divide each side by '-11'. u = 6 Simplifying u = 6
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