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Simplifying -5u + 37 = 9(u + 1) Reorder the terms: 37 + -5u = 9(u + 1) Reorder the terms: 37 + -5u = 9(1 + u) 37 + -5u = (1 * 9 + u * 9) 37 + -5u = (9 + 9u) Solving 37 + -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. 37 + -5u + -9u = 9 + 9u + -9u Combine like terms: -5u + -9u = -14u 37 + -14u = 9 + 9u + -9u Combine like terms: 9u + -9u = 0 37 + -14u = 9 + 0 37 + -14u = 9 Add '-37' to each side of the equation. 37 + -37 + -14u = 9 + -37 Combine like terms: 37 + -37 = 0 0 + -14u = 9 + -37 -14u = 9 + -37 Combine like terms: 9 + -37 = -28 -14u = -28 Divide each side by '-14'. u = 2 Simplifying u = 2
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