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Simplifying -5u + 19 = 9(u + -1) Reorder the terms: 19 + -5u = 9(u + -1) Reorder the terms: 19 + -5u = 9(-1 + u) 19 + -5u = (-1 * 9 + u * 9) 19 + -5u = (-9 + 9u) Solving 19 + -5u = -9 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 19 + -5u + -9u = -9 + 9u + -9u Combine like terms: -5u + -9u = -14u 19 + -14u = -9 + 9u + -9u Combine like terms: 9u + -9u = 0 19 + -14u = -9 + 0 19 + -14u = -9 Add '-19' to each side of the equation. 19 + -19 + -14u = -9 + -19 Combine like terms: 19 + -19 = 0 0 + -14u = -9 + -19 -14u = -9 + -19 Combine like terms: -9 + -19 = -28 -14u = -28 Divide each side by '-14'. u = 2 Simplifying u = 2
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