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