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Simplifying 4u + 24 = -2(u + 9) Reorder the terms: 24 + 4u = -2(u + 9) Reorder the terms: 24 + 4u = -2(9 + u) 24 + 4u = (9 * -2 + u * -2) 24 + 4u = (-18 + -2u) Solving 24 + 4u = -18 + -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 = -18 + -2u + 2u Combine like terms: 4u + 2u = 6u 24 + 6u = -18 + -2u + 2u Combine like terms: -2u + 2u = 0 24 + 6u = -18 + 0 24 + 6u = -18 Add '-24' to each side of the equation. 24 + -24 + 6u = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 6u = -18 + -24 6u = -18 + -24 Combine like terms: -18 + -24 = -42 6u = -42 Divide each side by '6'. u = -7 Simplifying u = -7
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