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Simplifying -5u + 19 = -7(u + -3) Reorder the terms: 19 + -5u = -7(u + -3) Reorder the terms: 19 + -5u = -7(-3 + u) 19 + -5u = (-3 * -7 + u * -7) 19 + -5u = (21 + -7u) Solving 19 + -5u = 21 + -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 = 21 + -7u + 7u Combine like terms: -5u + 7u = 2u 19 + 2u = 21 + -7u + 7u Combine like terms: -7u + 7u = 0 19 + 2u = 21 + 0 19 + 2u = 21 Add '-19' to each side of the equation. 19 + -19 + 2u = 21 + -19 Combine like terms: 19 + -19 = 0 0 + 2u = 21 + -19 2u = 21 + -19 Combine like terms: 21 + -19 = 2 2u = 2 Divide each side by '2'. u = 1 Simplifying u = 1
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