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Simplifying -4(u + 6) = -8u + -32 Reorder the terms: -4(6 + u) = -8u + -32 (6 * -4 + u * -4) = -8u + -32 (-24 + -4u) = -8u + -32 Reorder the terms: -24 + -4u = -32 + -8u Solving -24 + -4u = -32 + -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 = -32 + -8u + 8u Combine like terms: -4u + 8u = 4u -24 + 4u = -32 + -8u + 8u Combine like terms: -8u + 8u = 0 -24 + 4u = -32 + 0 -24 + 4u = -32 Add '24' to each side of the equation. -24 + 24 + 4u = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 4u = -32 + 24 4u = -32 + 24 Combine like terms: -32 + 24 = -8 4u = -8 Divide each side by '4'. u = -2 Simplifying u = -2
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