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Simplifying 4(u + 1) = -8u + -32 Reorder the terms: 4(1 + u) = -8u + -32 (1 * 4 + u * 4) = -8u + -32 (4 + 4u) = -8u + -32 Reorder the terms: 4 + 4u = -32 + -8u Solving 4 + 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. 4 + 4u + 8u = -32 + -8u + 8u Combine like terms: 4u + 8u = 12u 4 + 12u = -32 + -8u + 8u Combine like terms: -8u + 8u = 0 4 + 12u = -32 + 0 4 + 12u = -32 Add '-4' to each side of the equation. 4 + -4 + 12u = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 12u = -32 + -4 12u = -32 + -4 Combine like terms: -32 + -4 = -36 12u = -36 Divide each side by '12'. u = -3 Simplifying u = -3
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