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Simplifying -6(3u + -3) + 9u = 3(u + 8) Reorder the terms: -6(-3 + 3u) + 9u = 3(u + 8) (-3 * -6 + 3u * -6) + 9u = 3(u + 8) (18 + -18u) + 9u = 3(u + 8) Combine like terms: -18u + 9u = -9u 18 + -9u = 3(u + 8) Reorder the terms: 18 + -9u = 3(8 + u) 18 + -9u = (8 * 3 + u * 3) 18 + -9u = (24 + 3u) Solving 18 + -9u = 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. 18 + -9u + -3u = 24 + 3u + -3u Combine like terms: -9u + -3u = -12u 18 + -12u = 24 + 3u + -3u Combine like terms: 3u + -3u = 0 18 + -12u = 24 + 0 18 + -12u = 24 Add '-18' to each side of the equation. 18 + -18 + -12u = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -12u = 24 + -18 -12u = 24 + -18 Combine like terms: 24 + -18 = 6 -12u = 6 Divide each side by '-12'. u = -0.5 Simplifying u = -0.5
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