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Simplifying 5(u + 7) = -2u + 21 Reorder the terms: 5(7 + u) = -2u + 21 (7 * 5 + u * 5) = -2u + 21 (35 + 5u) = -2u + 21 Reorder the terms: 35 + 5u = 21 + -2u Solving 35 + 5u = 21 + -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. 35 + 5u + 2u = 21 + -2u + 2u Combine like terms: 5u + 2u = 7u 35 + 7u = 21 + -2u + 2u Combine like terms: -2u + 2u = 0 35 + 7u = 21 + 0 35 + 7u = 21 Add '-35' to each side of the equation. 35 + -35 + 7u = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 7u = 21 + -35 7u = 21 + -35 Combine like terms: 21 + -35 = -14 7u = -14 Divide each side by '7'. u = -2 Simplifying u = -2
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