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Simplifying 3(6 + -1u) + 4(2u + 5) = 3(u + -8) (6 * 3 + -1u * 3) + 4(2u + 5) = 3(u + -8) (18 + -3u) + 4(2u + 5) = 3(u + -8) Reorder the terms: 18 + -3u + 4(5 + 2u) = 3(u + -8) 18 + -3u + (5 * 4 + 2u * 4) = 3(u + -8) 18 + -3u + (20 + 8u) = 3(u + -8) Reorder the terms: 18 + 20 + -3u + 8u = 3(u + -8) Combine like terms: 18 + 20 = 38 38 + -3u + 8u = 3(u + -8) Combine like terms: -3u + 8u = 5u 38 + 5u = 3(u + -8) Reorder the terms: 38 + 5u = 3(-8 + u) 38 + 5u = (-8 * 3 + u * 3) 38 + 5u = (-24 + 3u) Solving 38 + 5u = -24 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 38 + 5u + -3u = -24 + 3u + -3u Combine like terms: 5u + -3u = 2u 38 + 2u = -24 + 3u + -3u Combine like terms: 3u + -3u = 0 38 + 2u = -24 + 0 38 + 2u = -24 Add '-38' to each side of the equation. 38 + -38 + 2u = -24 + -38 Combine like terms: 38 + -38 = 0 0 + 2u = -24 + -38 2u = -24 + -38 Combine like terms: -24 + -38 = -62 2u = -62 Divide each side by '2'. u = -31 Simplifying u = -31
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