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Simplifying 8(u + -1) = 4u + -32 Reorder the terms: 8(-1 + u) = 4u + -32 (-1 * 8 + u * 8) = 4u + -32 (-8 + 8u) = 4u + -32 Reorder the terms: -8 + 8u = -32 + 4u Solving -8 + 8u = -32 + 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. -8 + 8u + -4u = -32 + 4u + -4u Combine like terms: 8u + -4u = 4u -8 + 4u = -32 + 4u + -4u Combine like terms: 4u + -4u = 0 -8 + 4u = -32 + 0 -8 + 4u = -32 Add '8' to each side of the equation. -8 + 8 + 4u = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 4u = -32 + 8 4u = -32 + 8 Combine like terms: -32 + 8 = -24 4u = -24 Divide each side by '4'. u = -6 Simplifying u = -6
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