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Simplifying 5(u + 8) = -3u + -32 Reorder the terms: 5(8 + u) = -3u + -32 (8 * 5 + u * 5) = -3u + -32 (40 + 5u) = -3u + -32 Reorder the terms: 40 + 5u = -32 + -3u Solving 40 + 5u = -32 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 40 + 5u + 3u = -32 + -3u + 3u Combine like terms: 5u + 3u = 8u 40 + 8u = -32 + -3u + 3u Combine like terms: -3u + 3u = 0 40 + 8u = -32 + 0 40 + 8u = -32 Add '-40' to each side of the equation. 40 + -40 + 8u = -32 + -40 Combine like terms: 40 + -40 = 0 0 + 8u = -32 + -40 8u = -32 + -40 Combine like terms: -32 + -40 = -72 8u = -72 Divide each side by '8'. u = -9 Simplifying u = -9
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