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Simplifying 32 = -8u + 6(u + 8) Reorder the terms: 32 = -8u + 6(8 + u) 32 = -8u + (8 * 6 + u * 6) 32 = -8u + (48 + 6u) Reorder the terms: 32 = 48 + -8u + 6u Combine like terms: -8u + 6u = -2u 32 = 48 + -2u Solving 32 = 48 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 32 + 2u = 48 + -2u + 2u Combine like terms: -2u + 2u = 0 32 + 2u = 48 + 0 32 + 2u = 48 Add '-32' to each side of the equation. 32 + -32 + 2u = 48 + -32 Combine like terms: 32 + -32 = 0 0 + 2u = 48 + -32 2u = 48 + -32 Combine like terms: 48 + -32 = 16 2u = 16 Divide each side by '2'. u = 8 Simplifying u = 8
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