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Simplifying 9u + 24 = -7(u + 8) Reorder the terms: 24 + 9u = -7(u + 8) Reorder the terms: 24 + 9u = -7(8 + u) 24 + 9u = (8 * -7 + u * -7) 24 + 9u = (-56 + -7u) Solving 24 + 9u = -56 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. 24 + 9u + 7u = -56 + -7u + 7u Combine like terms: 9u + 7u = 16u 24 + 16u = -56 + -7u + 7u Combine like terms: -7u + 7u = 0 24 + 16u = -56 + 0 24 + 16u = -56 Add '-24' to each side of the equation. 24 + -24 + 16u = -56 + -24 Combine like terms: 24 + -24 = 0 0 + 16u = -56 + -24 16u = -56 + -24 Combine like terms: -56 + -24 = -80 16u = -80 Divide each side by '16'. u = -5 Simplifying u = -5
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