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Simplifying 5(u + 4) = -2u + 34 Reorder the terms: 5(4 + u) = -2u + 34 (4 * 5 + u * 5) = -2u + 34 (20 + 5u) = -2u + 34 Reorder the terms: 20 + 5u = 34 + -2u Solving 20 + 5u = 34 + -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. 20 + 5u + 2u = 34 + -2u + 2u Combine like terms: 5u + 2u = 7u 20 + 7u = 34 + -2u + 2u Combine like terms: -2u + 2u = 0 20 + 7u = 34 + 0 20 + 7u = 34 Add '-20' to each side of the equation. 20 + -20 + 7u = 34 + -20 Combine like terms: 20 + -20 = 0 0 + 7u = 34 + -20 7u = 34 + -20 Combine like terms: 34 + -20 = 14 7u = 14 Divide each side by '7'. u = 2 Simplifying u = 2
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