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Simplifying 32 = 6(u + 5) + -8u Reorder the terms: 32 = 6(5 + u) + -8u 32 = (5 * 6 + u * 6) + -8u 32 = (30 + 6u) + -8u Combine like terms: 6u + -8u = -2u 32 = 30 + -2u Solving 32 = 30 + -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 = 30 + -2u + 2u Combine like terms: -2u + 2u = 0 32 + 2u = 30 + 0 32 + 2u = 30 Add '-32' to each side of the equation. 32 + -32 + 2u = 30 + -32 Combine like terms: 32 + -32 = 0 0 + 2u = 30 + -32 2u = 30 + -32 Combine like terms: 30 + -32 = -2 2u = -2 Divide each side by '2'. u = -1 Simplifying u = -1
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