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Simplifying -6(u + -9) = 9u + 24 Reorder the terms: -6(-9 + u) = 9u + 24 (-9 * -6 + u * -6) = 9u + 24 (54 + -6u) = 9u + 24 Reorder the terms: 54 + -6u = 24 + 9u Solving 54 + -6u = 24 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 54 + -6u + -9u = 24 + 9u + -9u Combine like terms: -6u + -9u = -15u 54 + -15u = 24 + 9u + -9u Combine like terms: 9u + -9u = 0 54 + -15u = 24 + 0 54 + -15u = 24 Add '-54' to each side of the equation. 54 + -54 + -15u = 24 + -54 Combine like terms: 54 + -54 = 0 0 + -15u = 24 + -54 -15u = 24 + -54 Combine like terms: 24 + -54 = -30 -15u = -30 Divide each side by '-15'. u = 2 Simplifying u = 2
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