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Simplifying 32 = 4(u + 5) + -8u Reorder the terms: 32 = 4(5 + u) + -8u 32 = (5 * 4 + u * 4) + -8u 32 = (20 + 4u) + -8u Combine like terms: 4u + -8u = -4u 32 = 20 + -4u Solving 32 = 20 + -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 = 20 + -4u + 4u Combine like terms: -4u + 4u = 0 32 + 4u = 20 + 0 32 + 4u = 20 Add '-32' to each side of the equation. 32 + -32 + 4u = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 4u = 20 + -32 4u = 20 + -32 Combine like terms: 20 + -32 = -12 4u = -12 Divide each side by '4'. u = -3 Simplifying u = -3
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