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Simplifying 8(u + 5) = -5u + 1 Reorder the terms: 8(5 + u) = -5u + 1 (5 * 8 + u * 8) = -5u + 1 (40 + 8u) = -5u + 1 Reorder the terms: 40 + 8u = 1 + -5u Solving 40 + 8u = 1 + -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. 40 + 8u + 5u = 1 + -5u + 5u Combine like terms: 8u + 5u = 13u 40 + 13u = 1 + -5u + 5u Combine like terms: -5u + 5u = 0 40 + 13u = 1 + 0 40 + 13u = 1 Add '-40' to each side of the equation. 40 + -40 + 13u = 1 + -40 Combine like terms: 40 + -40 = 0 0 + 13u = 1 + -40 13u = 1 + -40 Combine like terms: 1 + -40 = -39 13u = -39 Divide each side by '13'. u = -3 Simplifying u = -3
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