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Simplifying 6(7 + -1u) + u = 3(u + 4) (7 * 6 + -1u * 6) + u = 3(u + 4) (42 + -6u) + u = 3(u + 4) Combine like terms: -6u + u = -5u 42 + -5u = 3(u + 4) Reorder the terms: 42 + -5u = 3(4 + u) 42 + -5u = (4 * 3 + u * 3) 42 + -5u = (12 + 3u) Solving 42 + -5u = 12 + 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. 42 + -5u + -3u = 12 + 3u + -3u Combine like terms: -5u + -3u = -8u 42 + -8u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 42 + -8u = 12 + 0 42 + -8u = 12 Add '-42' to each side of the equation. 42 + -42 + -8u = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -8u = 12 + -42 -8u = 12 + -42 Combine like terms: 12 + -42 = -30 -8u = -30 Divide each side by '-8'. u = 3.75 Simplifying u = 3.75
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