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Simplifying 4u + 24 = -6(u + 6) Reorder the terms: 24 + 4u = -6(u + 6) Reorder the terms: 24 + 4u = -6(6 + u) 24 + 4u = (6 * -6 + u * -6) 24 + 4u = (-36 + -6u) Solving 24 + 4u = -36 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 24 + 4u + 6u = -36 + -6u + 6u Combine like terms: 4u + 6u = 10u 24 + 10u = -36 + -6u + 6u Combine like terms: -6u + 6u = 0 24 + 10u = -36 + 0 24 + 10u = -36 Add '-24' to each side of the equation. 24 + -24 + 10u = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 10u = -36 + -24 10u = -36 + -24 Combine like terms: -36 + -24 = -60 10u = -60 Divide each side by '10'. u = -6 Simplifying u = -6
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