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Simplifying 2(u + -9) = -5u + 38 Reorder the terms: 2(-9 + u) = -5u + 38 (-9 * 2 + u * 2) = -5u + 38 (-18 + 2u) = -5u + 38 Reorder the terms: -18 + 2u = 38 + -5u Solving -18 + 2u = 38 + -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. -18 + 2u + 5u = 38 + -5u + 5u Combine like terms: 2u + 5u = 7u -18 + 7u = 38 + -5u + 5u Combine like terms: -5u + 5u = 0 -18 + 7u = 38 + 0 -18 + 7u = 38 Add '18' to each side of the equation. -18 + 18 + 7u = 38 + 18 Combine like terms: -18 + 18 = 0 0 + 7u = 38 + 18 7u = 38 + 18 Combine like terms: 38 + 18 = 56 7u = 56 Divide each side by '7'. u = 8 Simplifying u = 8
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