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Simplifying -3(4u + -6) + 6u = 3(u + 2) Reorder the terms: -3(-6 + 4u) + 6u = 3(u + 2) (-6 * -3 + 4u * -3) + 6u = 3(u + 2) (18 + -12u) + 6u = 3(u + 2) Combine like terms: -12u + 6u = -6u 18 + -6u = 3(u + 2) Reorder the terms: 18 + -6u = 3(2 + u) 18 + -6u = (2 * 3 + u * 3) 18 + -6u = (6 + 3u) Solving 18 + -6u = 6 + 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 + -6u + -3u = 6 + 3u + -3u Combine like terms: -6u + -3u = -9u 18 + -9u = 6 + 3u + -3u Combine like terms: 3u + -3u = 0 18 + -9u = 6 + 0 18 + -9u = 6 Add '-18' to each side of the equation. 18 + -18 + -9u = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -9u = 6 + -18 -9u = 6 + -18 Combine like terms: 6 + -18 = -12 -9u = -12 Divide each side by '-9'. u = 1.333333333 Simplifying u = 1.333333333
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