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Simplifying -3(2u + -8) + 5u = 5(u + 2) Reorder the terms: -3(-8 + 2u) + 5u = 5(u + 2) (-8 * -3 + 2u * -3) + 5u = 5(u + 2) (24 + -6u) + 5u = 5(u + 2) Combine like terms: -6u + 5u = -1u 24 + -1u = 5(u + 2) Reorder the terms: 24 + -1u = 5(2 + u) 24 + -1u = (2 * 5 + u * 5) 24 + -1u = (10 + 5u) Solving 24 + -1u = 10 + 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. 24 + -1u + -5u = 10 + 5u + -5u Combine like terms: -1u + -5u = -6u 24 + -6u = 10 + 5u + -5u Combine like terms: 5u + -5u = 0 24 + -6u = 10 + 0 24 + -6u = 10 Add '-24' to each side of the equation. 24 + -24 + -6u = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -6u = 10 + -24 -6u = 10 + -24 Combine like terms: 10 + -24 = -14 -6u = -14 Divide each side by '-6'. u = 2.333333333 Simplifying u = 2.333333333
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