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Simplifying -6(u + 7) = 5u + 24 Reorder the terms: -6(7 + u) = 5u + 24 (7 * -6 + u * -6) = 5u + 24 (-42 + -6u) = 5u + 24 Reorder the terms: -42 + -6u = 24 + 5u Solving -42 + -6u = 24 + 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. -42 + -6u + -5u = 24 + 5u + -5u Combine like terms: -6u + -5u = -11u -42 + -11u = 24 + 5u + -5u Combine like terms: 5u + -5u = 0 -42 + -11u = 24 + 0 -42 + -11u = 24 Add '42' to each side of the equation. -42 + 42 + -11u = 24 + 42 Combine like terms: -42 + 42 = 0 0 + -11u = 24 + 42 -11u = 24 + 42 Combine like terms: 24 + 42 = 66 -11u = 66 Divide each side by '-11'. u = -6 Simplifying u = -6
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