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Simplifying 5(u + 3) = -8u + 41 Reorder the terms: 5(3 + u) = -8u + 41 (3 * 5 + u * 5) = -8u + 41 (15 + 5u) = -8u + 41 Reorder the terms: 15 + 5u = 41 + -8u Solving 15 + 5u = 41 + -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. 15 + 5u + 8u = 41 + -8u + 8u Combine like terms: 5u + 8u = 13u 15 + 13u = 41 + -8u + 8u Combine like terms: -8u + 8u = 0 15 + 13u = 41 + 0 15 + 13u = 41 Add '-15' to each side of the equation. 15 + -15 + 13u = 41 + -15 Combine like terms: 15 + -15 = 0 0 + 13u = 41 + -15 13u = 41 + -15 Combine like terms: 41 + -15 = 26 13u = 26 Divide each side by '13'. u = 2 Simplifying u = 2
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