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Simplifying -8u + 34 = 5(u + -1) Reorder the terms: 34 + -8u = 5(u + -1) Reorder the terms: 34 + -8u = 5(-1 + u) 34 + -8u = (-1 * 5 + u * 5) 34 + -8u = (-5 + 5u) Solving 34 + -8u = -5 + 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. 34 + -8u + -5u = -5 + 5u + -5u Combine like terms: -8u + -5u = -13u 34 + -13u = -5 + 5u + -5u Combine like terms: 5u + -5u = 0 34 + -13u = -5 + 0 34 + -13u = -5 Add '-34' to each side of the equation. 34 + -34 + -13u = -5 + -34 Combine like terms: 34 + -34 = 0 0 + -13u = -5 + -34 -13u = -5 + -34 Combine like terms: -5 + -34 = -39 -13u = -39 Divide each side by '-13'. u = 3 Simplifying u = 3
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