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Simplifying -7(2u + -5) + 5u = 3(u + 9) Reorder the terms: -7(-5 + 2u) + 5u = 3(u + 9) (-5 * -7 + 2u * -7) + 5u = 3(u + 9) (35 + -14u) + 5u = 3(u + 9) Combine like terms: -14u + 5u = -9u 35 + -9u = 3(u + 9) Reorder the terms: 35 + -9u = 3(9 + u) 35 + -9u = (9 * 3 + u * 3) 35 + -9u = (27 + 3u) Solving 35 + -9u = 27 + 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. 35 + -9u + -3u = 27 + 3u + -3u Combine like terms: -9u + -3u = -12u 35 + -12u = 27 + 3u + -3u Combine like terms: 3u + -3u = 0 35 + -12u = 27 + 0 35 + -12u = 27 Add '-35' to each side of the equation. 35 + -35 + -12u = 27 + -35 Combine like terms: 35 + -35 = 0 0 + -12u = 27 + -35 -12u = 27 + -35 Combine like terms: 27 + -35 = -8 -12u = -8 Divide each side by '-12'. u = 0.6666666667 Simplifying u = 0.6666666667
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