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Simplifying 10(3u + 2) + 14(5u + -2) = 56(2u + 9) Reorder the terms: 10(2 + 3u) + 14(5u + -2) = 56(2u + 9) (2 * 10 + 3u * 10) + 14(5u + -2) = 56(2u + 9) (20 + 30u) + 14(5u + -2) = 56(2u + 9) Reorder the terms: 20 + 30u + 14(-2 + 5u) = 56(2u + 9) 20 + 30u + (-2 * 14 + 5u * 14) = 56(2u + 9) 20 + 30u + (-28 + 70u) = 56(2u + 9) Reorder the terms: 20 + -28 + 30u + 70u = 56(2u + 9) Combine like terms: 20 + -28 = -8 -8 + 30u + 70u = 56(2u + 9) Combine like terms: 30u + 70u = 100u -8 + 100u = 56(2u + 9) Reorder the terms: -8 + 100u = 56(9 + 2u) -8 + 100u = (9 * 56 + 2u * 56) -8 + 100u = (504 + 112u) Solving -8 + 100u = 504 + 112u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-112u' to each side of the equation. -8 + 100u + -112u = 504 + 112u + -112u Combine like terms: 100u + -112u = -12u -8 + -12u = 504 + 112u + -112u Combine like terms: 112u + -112u = 0 -8 + -12u = 504 + 0 -8 + -12u = 504 Add '8' to each side of the equation. -8 + 8 + -12u = 504 + 8 Combine like terms: -8 + 8 = 0 0 + -12u = 504 + 8 -12u = 504 + 8 Combine like terms: 504 + 8 = 512 -12u = 512 Divide each side by '-12'. u = -42.66666667 Simplifying u = -42.66666667
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