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Simplifying 5(u + 8) = -6(2u + -9) + u Reorder the terms: 5(8 + u) = -6(2u + -9) + u (8 * 5 + u * 5) = -6(2u + -9) + u (40 + 5u) = -6(2u + -9) + u Reorder the terms: 40 + 5u = -6(-9 + 2u) + u 40 + 5u = (-9 * -6 + 2u * -6) + u 40 + 5u = (54 + -12u) + u Combine like terms: -12u + u = -11u 40 + 5u = 54 + -11u Solving 40 + 5u = 54 + -11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '11u' to each side of the equation. 40 + 5u + 11u = 54 + -11u + 11u Combine like terms: 5u + 11u = 16u 40 + 16u = 54 + -11u + 11u Combine like terms: -11u + 11u = 0 40 + 16u = 54 + 0 40 + 16u = 54 Add '-40' to each side of the equation. 40 + -40 + 16u = 54 + -40 Combine like terms: 40 + -40 = 0 0 + 16u = 54 + -40 16u = 54 + -40 Combine like terms: 54 + -40 = 14 16u = 14 Divide each side by '16'. u = 0.875 Simplifying u = 0.875
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