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Simplifying 6(u + -4) + -8u = -32 Reorder the terms: 6(-4 + u) + -8u = -32 (-4 * 6 + u * 6) + -8u = -32 (-24 + 6u) + -8u = -32 Combine like terms: 6u + -8u = -2u -24 + -2u = -32 Solving -24 + -2u = -32 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2u = -32 + 24 Combine like terms: -24 + 24 = 0 0 + -2u = -32 + 24 -2u = -32 + 24 Combine like terms: -32 + 24 = -8 -2u = -8 Divide each side by '-2'. u = 4 Simplifying u = 4
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