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Simplifying 5(u + 7) + -7u = 19 Reorder the terms: 5(7 + u) + -7u = 19 (7 * 5 + u * 5) + -7u = 19 (35 + 5u) + -7u = 19 Combine like terms: 5u + -7u = -2u 35 + -2u = 19 Solving 35 + -2u = 19 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -2u = 19 + -35 Combine like terms: 35 + -35 = 0 0 + -2u = 19 + -35 -2u = 19 + -35 Combine like terms: 19 + -35 = -16 -2u = -16 Divide each side by '-2'. u = 8 Simplifying u = 8
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