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Simplifying -3(7u + -6) + 6u = 3(u + 4) Reorder the terms: -3(-6 + 7u) + 6u = 3(u + 4) (-6 * -3 + 7u * -3) + 6u = 3(u + 4) (18 + -21u) + 6u = 3(u + 4) Combine like terms: -21u + 6u = -15u 18 + -15u = 3(u + 4) Reorder the terms: 18 + -15u = 3(4 + u) 18 + -15u = (4 * 3 + u * 3) 18 + -15u = (12 + 3u) Solving 18 + -15u = 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. 18 + -15u + -3u = 12 + 3u + -3u Combine like terms: -15u + -3u = -18u 18 + -18u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 18 + -18u = 12 + 0 18 + -18u = 12 Add '-18' to each side of the equation. 18 + -18 + -18u = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -18u = 12 + -18 -18u = 12 + -18 Combine like terms: 12 + -18 = -6 -18u = -6 Divide each side by '-18'. u = 0.3333333333 Simplifying u = 0.3333333333
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