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Simplifying -4u + 37 = 5(u + -7) Reorder the terms: 37 + -4u = 5(u + -7) Reorder the terms: 37 + -4u = 5(-7 + u) 37 + -4u = (-7 * 5 + u * 5) 37 + -4u = (-35 + 5u) Solving 37 + -4u = -35 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 37 + -4u + -5u = -35 + 5u + -5u Combine like terms: -4u + -5u = -9u 37 + -9u = -35 + 5u + -5u Combine like terms: 5u + -5u = 0 37 + -9u = -35 + 0 37 + -9u = -35 Add '-37' to each side of the equation. 37 + -37 + -9u = -35 + -37 Combine like terms: 37 + -37 = 0 0 + -9u = -35 + -37 -9u = -35 + -37 Combine like terms: -35 + -37 = -72 -9u = -72 Divide each side by '-9'. u = 8 Simplifying u = 8
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