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Simplifying 5(u + 8) = -8u + -38 Reorder the terms: 5(8 + u) = -8u + -38 (8 * 5 + u * 5) = -8u + -38 (40 + 5u) = -8u + -38 Reorder the terms: 40 + 5u = -38 + -8u Solving 40 + 5u = -38 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 40 + 5u + 8u = -38 + -8u + 8u Combine like terms: 5u + 8u = 13u 40 + 13u = -38 + -8u + 8u Combine like terms: -8u + 8u = 0 40 + 13u = -38 + 0 40 + 13u = -38 Add '-40' to each side of the equation. 40 + -40 + 13u = -38 + -40 Combine like terms: 40 + -40 = 0 0 + 13u = -38 + -40 13u = -38 + -40 Combine like terms: -38 + -40 = -78 13u = -78 Divide each side by '13'. u = -6 Simplifying u = -6
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