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Simplifying 5u + -8 + 2(4u + 5) = -2(u + 4) Reorder the terms: 5u + -8 + 2(5 + 4u) = -2(u + 4) 5u + -8 + (5 * 2 + 4u * 2) = -2(u + 4) 5u + -8 + (10 + 8u) = -2(u + 4) Reorder the terms: -8 + 10 + 5u + 8u = -2(u + 4) Combine like terms: -8 + 10 = 2 2 + 5u + 8u = -2(u + 4) Combine like terms: 5u + 8u = 13u 2 + 13u = -2(u + 4) Reorder the terms: 2 + 13u = -2(4 + u) 2 + 13u = (4 * -2 + u * -2) 2 + 13u = (-8 + -2u) Solving 2 + 13u = -8 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 2 + 13u + 2u = -8 + -2u + 2u Combine like terms: 13u + 2u = 15u 2 + 15u = -8 + -2u + 2u Combine like terms: -2u + 2u = 0 2 + 15u = -8 + 0 2 + 15u = -8 Add '-2' to each side of the equation. 2 + -2 + 15u = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 15u = -8 + -2 15u = -8 + -2 Combine like terms: -8 + -2 = -10 15u = -10 Divide each side by '15'. u = -0.6666666667 Simplifying u = -0.6666666667
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