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Simplifying 32 = -7u + 3(u + 8) Reorder the terms: 32 = -7u + 3(8 + u) 32 = -7u + (8 * 3 + u * 3) 32 = -7u + (24 + 3u) Reorder the terms: 32 = 24 + -7u + 3u Combine like terms: -7u + 3u = -4u 32 = 24 + -4u Solving 32 = 24 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 32 + 4u = 24 + -4u + 4u Combine like terms: -4u + 4u = 0 32 + 4u = 24 + 0 32 + 4u = 24 Add '-32' to each side of the equation. 32 + -32 + 4u = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 4u = 24 + -32 4u = 24 + -32 Combine like terms: 24 + -32 = -8 4u = -8 Divide each side by '4'. u = -2 Simplifying u = -2
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