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Simplifying -7u + 37 = -9(u + 5) Reorder the terms: 37 + -7u = -9(u + 5) Reorder the terms: 37 + -7u = -9(5 + u) 37 + -7u = (5 * -9 + u * -9) 37 + -7u = (-45 + -9u) Solving 37 + -7u = -45 + -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 + -7u + 9u = -45 + -9u + 9u Combine like terms: -7u + 9u = 2u 37 + 2u = -45 + -9u + 9u Combine like terms: -9u + 9u = 0 37 + 2u = -45 + 0 37 + 2u = -45 Add '-37' to each side of the equation. 37 + -37 + 2u = -45 + -37 Combine like terms: 37 + -37 = 0 0 + 2u = -45 + -37 2u = -45 + -37 Combine like terms: -45 + -37 = -82 2u = -82 Divide each side by '2'. u = -41 Simplifying u = -41
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