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Simplifying 6(u + 4) = -5u + -42 Reorder the terms: 6(4 + u) = -5u + -42 (4 * 6 + u * 6) = -5u + -42 (24 + 6u) = -5u + -42 Reorder the terms: 24 + 6u = -42 + -5u Solving 24 + 6u = -42 + -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. 24 + 6u + 5u = -42 + -5u + 5u Combine like terms: 6u + 5u = 11u 24 + 11u = -42 + -5u + 5u Combine like terms: -5u + 5u = 0 24 + 11u = -42 + 0 24 + 11u = -42 Add '-24' to each side of the equation. 24 + -24 + 11u = -42 + -24 Combine like terms: 24 + -24 = 0 0 + 11u = -42 + -24 11u = -42 + -24 Combine like terms: -42 + -24 = -66 11u = -66 Divide each side by '11'. u = -6 Simplifying u = -6
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