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Simplifying 32 = 3(u + 8) + -5u Reorder the terms: 32 = 3(8 + u) + -5u 32 = (8 * 3 + u * 3) + -5u 32 = (24 + 3u) + -5u Combine like terms: 3u + -5u = -2u 32 = 24 + -2u Solving 32 = 24 + -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 = 24 + -2u + 2u Combine like terms: -2u + 2u = 0 32 + 2u = 24 + 0 32 + 2u = 24 Add '-32' to each side of the equation. 32 + -32 + 2u = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 2u = 24 + -32 2u = 24 + -32 Combine like terms: 24 + -32 = -8 2u = -8 Divide each side by '2'. u = -4 Simplifying u = -4
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