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Simplifying -8u + 24 = -4(u + 2) Reorder the terms: 24 + -8u = -4(u + 2) Reorder the terms: 24 + -8u = -4(2 + u) 24 + -8u = (2 * -4 + u * -4) 24 + -8u = (-8 + -4u) Solving 24 + -8u = -8 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 24 + -8u + 4u = -8 + -4u + 4u Combine like terms: -8u + 4u = -4u 24 + -4u = -8 + -4u + 4u Combine like terms: -4u + 4u = 0 24 + -4u = -8 + 0 24 + -4u = -8 Add '-24' to each side of the equation. 24 + -24 + -4u = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -4u = -8 + -24 -4u = -8 + -24 Combine like terms: -8 + -24 = -32 -4u = -32 Divide each side by '-4'. u = 8 Simplifying u = 8
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