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Simplifying -34 = 4u + 7(u + -8) Reorder the terms: -34 = 4u + 7(-8 + u) -34 = 4u + (-8 * 7 + u * 7) -34 = 4u + (-56 + 7u) Reorder the terms: -34 = -56 + 4u + 7u Combine like terms: 4u + 7u = 11u -34 = -56 + 11u Solving -34 = -56 + 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 = -56 + 11u + -11u Combine like terms: 11u + -11u = 0 -34 + -11u = -56 + 0 -34 + -11u = -56 Add '34' to each side of the equation. -34 + 34 + -11u = -56 + 34 Combine like terms: -34 + 34 = 0 0 + -11u = -56 + 34 -11u = -56 + 34 Combine like terms: -56 + 34 = -22 -11u = -22 Divide each side by '-11'. u = 2 Simplifying u = 2
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