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Simplifying 7(u + -3) + -5u = -19 Reorder the terms: 7(-3 + u) + -5u = -19 (-3 * 7 + u * 7) + -5u = -19 (-21 + 7u) + -5u = -19 Combine like terms: 7u + -5u = 2u -21 + 2u = -19 Solving -21 + 2u = -19 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2u = -19 + 21 Combine like terms: -21 + 21 = 0 0 + 2u = -19 + 21 2u = -19 + 21 Combine like terms: -19 + 21 = 2 2u = 2 Divide each side by '2'. u = 1 Simplifying u = 1
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