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Simplifying -6(3u + -4) + 9u = 3(u + 7) Reorder the terms: -6(-4 + 3u) + 9u = 3(u + 7) (-4 * -6 + 3u * -6) + 9u = 3(u + 7) (24 + -18u) + 9u = 3(u + 7) Combine like terms: -18u + 9u = -9u 24 + -9u = 3(u + 7) Reorder the terms: 24 + -9u = 3(7 + u) 24 + -9u = (7 * 3 + u * 3) 24 + -9u = (21 + 3u) Solving 24 + -9u = 21 + 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. 24 + -9u + -3u = 21 + 3u + -3u Combine like terms: -9u + -3u = -12u 24 + -12u = 21 + 3u + -3u Combine like terms: 3u + -3u = 0 24 + -12u = 21 + 0 24 + -12u = 21 Add '-24' to each side of the equation. 24 + -24 + -12u = 21 + -24 Combine like terms: 24 + -24 = 0 0 + -12u = 21 + -24 -12u = 21 + -24 Combine like terms: 21 + -24 = -3 -12u = -3 Divide each side by '-12'. u = 0.25 Simplifying u = 0.25
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