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Simplifying 6(u + 4) = -2u + 40 Reorder the terms: 6(4 + u) = -2u + 40 (4 * 6 + u * 6) = -2u + 40 (24 + 6u) = -2u + 40 Reorder the terms: 24 + 6u = 40 + -2u Solving 24 + 6u = 40 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 24 + 6u + 2u = 40 + -2u + 2u Combine like terms: 6u + 2u = 8u 24 + 8u = 40 + -2u + 2u Combine like terms: -2u + 2u = 0 24 + 8u = 40 + 0 24 + 8u = 40 Add '-24' to each side of the equation. 24 + -24 + 8u = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 8u = 40 + -24 8u = 40 + -24 Combine like terms: 40 + -24 = 16 8u = 16 Divide each side by '8'. u = 2 Simplifying u = 2
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