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Simplifying 5u + 19 = 2(u + -4) Reorder the terms: 19 + 5u = 2(u + -4) Reorder the terms: 19 + 5u = 2(-4 + u) 19 + 5u = (-4 * 2 + u * 2) 19 + 5u = (-8 + 2u) Solving 19 + 5u = -8 + 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 = -8 + 2u + -2u Combine like terms: 5u + -2u = 3u 19 + 3u = -8 + 2u + -2u Combine like terms: 2u + -2u = 0 19 + 3u = -8 + 0 19 + 3u = -8 Add '-19' to each side of the equation. 19 + -19 + 3u = -8 + -19 Combine like terms: 19 + -19 = 0 0 + 3u = -8 + -19 3u = -8 + -19 Combine like terms: -8 + -19 = -27 3u = -27 Divide each side by '3'. u = -9 Simplifying u = -9
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