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Simplifying 37 = 5(u + 3) + 6u Reorder the terms: 37 = 5(3 + u) + 6u 37 = (3 * 5 + u * 5) + 6u 37 = (15 + 5u) + 6u Combine like terms: 5u + 6u = 11u 37 = 15 + 11u Solving 37 = 15 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. 37 + -11u = 15 + 11u + -11u Combine like terms: 11u + -11u = 0 37 + -11u = 15 + 0 37 + -11u = 15 Add '-37' to each side of the equation. 37 + -37 + -11u = 15 + -37 Combine like terms: 37 + -37 = 0 0 + -11u = 15 + -37 -11u = 15 + -37 Combine like terms: 15 + -37 = -22 -11u = -22 Divide each side by '-11'. u = 2 Simplifying u = 2
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