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Simplifying 34 = -7u + 5(u + 4) Reorder the terms: 34 = -7u + 5(4 + u) 34 = -7u + (4 * 5 + u * 5) 34 = -7u + (20 + 5u) Reorder the terms: 34 = 20 + -7u + 5u Combine like terms: -7u + 5u = -2u 34 = 20 + -2u Solving 34 = 20 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 34 + 2u = 20 + -2u + 2u Combine like terms: -2u + 2u = 0 34 + 2u = 20 + 0 34 + 2u = 20 Add '-34' to each side of the equation. 34 + -34 + 2u = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 2u = 20 + -34 2u = 20 + -34 Combine like terms: 20 + -34 = -14 2u = -14 Divide each side by '2'. u = -7 Simplifying u = -7
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