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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 = -40 4u = -40 Divide each side by '4'. u = -10 Simplifying u = -10
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