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Simplifying -5(4u + -7) + 7u = 5(u + 9) Reorder the terms: -5(-7 + 4u) + 7u = 5(u + 9) (-7 * -5 + 4u * -5) + 7u = 5(u + 9) (35 + -20u) + 7u = 5(u + 9) Combine like terms: -20u + 7u = -13u 35 + -13u = 5(u + 9) Reorder the terms: 35 + -13u = 5(9 + u) 35 + -13u = (9 * 5 + u * 5) 35 + -13u = (45 + 5u) Solving 35 + -13u = 45 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 35 + -13u + -5u = 45 + 5u + -5u Combine like terms: -13u + -5u = -18u 35 + -18u = 45 + 5u + -5u Combine like terms: 5u + -5u = 0 35 + -18u = 45 + 0 35 + -18u = 45 Add '-35' to each side of the equation. 35 + -35 + -18u = 45 + -35 Combine like terms: 35 + -35 = 0 0 + -18u = 45 + -35 -18u = 45 + -35 Combine like terms: 45 + -35 = 10 -18u = 10 Divide each side by '-18'. u = -0.5555555556 Simplifying u = -0.5555555556
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