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Simplifying 4u + 24 = -8(u + 3) Reorder the terms: 24 + 4u = -8(u + 3) Reorder the terms: 24 + 4u = -8(3 + u) 24 + 4u = (3 * -8 + u * -8) 24 + 4u = (-24 + -8u) Solving 24 + 4u = -24 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 24 + 4u + 8u = -24 + -8u + 8u Combine like terms: 4u + 8u = 12u 24 + 12u = -24 + -8u + 8u Combine like terms: -8u + 8u = 0 24 + 12u = -24 + 0 24 + 12u = -24 Add '-24' to each side of the equation. 24 + -24 + 12u = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 12u = -24 + -24 12u = -24 + -24 Combine like terms: -24 + -24 = -48 12u = -48 Divide each side by '12'. u = -4 Simplifying u = -4
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