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Simplifying -7(2u + -3) + 5u = 8 + 3(3u + -1) Reorder the terms: -7(-3 + 2u) + 5u = 8 + 3(3u + -1) (-3 * -7 + 2u * -7) + 5u = 8 + 3(3u + -1) (21 + -14u) + 5u = 8 + 3(3u + -1) Combine like terms: -14u + 5u = -9u 21 + -9u = 8 + 3(3u + -1) Reorder the terms: 21 + -9u = 8 + 3(-1 + 3u) 21 + -9u = 8 + (-1 * 3 + 3u * 3) 21 + -9u = 8 + (-3 + 9u) Combine like terms: 8 + -3 = 5 21 + -9u = 5 + 9u Solving 21 + -9u = 5 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 21 + -9u + -9u = 5 + 9u + -9u Combine like terms: -9u + -9u = -18u 21 + -18u = 5 + 9u + -9u Combine like terms: 9u + -9u = 0 21 + -18u = 5 + 0 21 + -18u = 5 Add '-21' to each side of the equation. 21 + -21 + -18u = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -18u = 5 + -21 -18u = 5 + -21 Combine like terms: 5 + -21 = -16 -18u = -16 Divide each side by '-18'. u = 0.8888888889 Simplifying u = 0.8888888889
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