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Simplifying 5u + 37 = -7(u + 5) Reorder the terms: 37 + 5u = -7(u + 5) Reorder the terms: 37 + 5u = -7(5 + u) 37 + 5u = (5 * -7 + u * -7) 37 + 5u = (-35 + -7u) Solving 37 + 5u = -35 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. 37 + 5u + 7u = -35 + -7u + 7u Combine like terms: 5u + 7u = 12u 37 + 12u = -35 + -7u + 7u Combine like terms: -7u + 7u = 0 37 + 12u = -35 + 0 37 + 12u = -35 Add '-37' to each side of the equation. 37 + -37 + 12u = -35 + -37 Combine like terms: 37 + -37 = 0 0 + 12u = -35 + -37 12u = -35 + -37 Combine like terms: -35 + -37 = -72 12u = -72 Divide each side by '12'. u = -6 Simplifying u = -6
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