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Simplifying 5(u + 4) = 9u + 32 Reorder the terms: 5(4 + u) = 9u + 32 (4 * 5 + u * 5) = 9u + 32 (20 + 5u) = 9u + 32 Reorder the terms: 20 + 5u = 32 + 9u Solving 20 + 5u = 32 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 20 + 5u + -9u = 32 + 9u + -9u Combine like terms: 5u + -9u = -4u 20 + -4u = 32 + 9u + -9u Combine like terms: 9u + -9u = 0 20 + -4u = 32 + 0 20 + -4u = 32 Add '-20' to each side of the equation. 20 + -20 + -4u = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -4u = 32 + -20 -4u = 32 + -20 Combine like terms: 32 + -20 = 12 -4u = 12 Divide each side by '-4'. u = -3 Simplifying u = -3
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