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