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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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