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Simplifying 4(u + 6) = -2u + 42 Reorder the terms: 4(6 + u) = -2u + 42 (6 * 4 + u * 4) = -2u + 42 (24 + 4u) = -2u + 42 Reorder the terms: 24 + 4u = 42 + -2u Solving 24 + 4u = 42 + -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 + 4u + 2u = 42 + -2u + 2u Combine like terms: 4u + 2u = 6u 24 + 6u = 42 + -2u + 2u Combine like terms: -2u + 2u = 0 24 + 6u = 42 + 0 24 + 6u = 42 Add '-24' to each side of the equation. 24 + -24 + 6u = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 6u = 42 + -24 6u = 42 + -24 Combine like terms: 42 + -24 = 18 6u = 18 Divide each side by '6'. u = 3 Simplifying u = 3
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