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Simplifying 3(5u + -2) + 4(2u + 7) = 28 Reorder the terms: 3(-2 + 5u) + 4(2u + 7) = 28 (-2 * 3 + 5u * 3) + 4(2u + 7) = 28 (-6 + 15u) + 4(2u + 7) = 28 Reorder the terms: -6 + 15u + 4(7 + 2u) = 28 -6 + 15u + (7 * 4 + 2u * 4) = 28 -6 + 15u + (28 + 8u) = 28 Reorder the terms: -6 + 28 + 15u + 8u = 28 Combine like terms: -6 + 28 = 22 22 + 15u + 8u = 28 Combine like terms: 15u + 8u = 23u 22 + 23u = 28 Solving 22 + 23u = 28 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 23u = 28 + -22 Combine like terms: 22 + -22 = 0 0 + 23u = 28 + -22 23u = 28 + -22 Combine like terms: 28 + -22 = 6 23u = 6 Divide each side by '23'. u = 0.2608695652 Simplifying u = 0.2608695652
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