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Simplifying -5u + -37 = -7(u + 7) Reorder the terms: -37 + -5u = -7(u + 7) Reorder the terms: -37 + -5u = -7(7 + u) -37 + -5u = (7 * -7 + u * -7) -37 + -5u = (-49 + -7u) Solving -37 + -5u = -49 + -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 = -49 + -7u + 7u Combine like terms: -5u + 7u = 2u -37 + 2u = -49 + -7u + 7u Combine like terms: -7u + 7u = 0 -37 + 2u = -49 + 0 -37 + 2u = -49 Add '37' to each side of the equation. -37 + 37 + 2u = -49 + 37 Combine like terms: -37 + 37 = 0 0 + 2u = -49 + 37 2u = -49 + 37 Combine like terms: -49 + 37 = -12 2u = -12 Divide each side by '2'. u = -6 Simplifying u = -6
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