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