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Simplifying -5u + 19 = -7(u + -5) Reorder the terms: 19 + -5u = -7(u + -5) Reorder the terms: 19 + -5u = -7(-5 + u) 19 + -5u = (-5 * -7 + u * -7) 19 + -5u = (35 + -7u) Solving 19 + -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. 19 + -5u + 7u = 35 + -7u + 7u Combine like terms: -5u + 7u = 2u 19 + 2u = 35 + -7u + 7u Combine like terms: -7u + 7u = 0 19 + 2u = 35 + 0 19 + 2u = 35 Add '-19' to each side of the equation. 19 + -19 + 2u = 35 + -19 Combine like terms: 19 + -19 = 0 0 + 2u = 35 + -19 2u = 35 + -19 Combine like terms: 35 + -19 = 16 2u = 16 Divide each side by '2'. u = 8 Simplifying u = 8
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