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Simplifying 4(8 + -5u) = 2u + -4 (8 * 4 + -5u * 4) = 2u + -4 (32 + -20u) = 2u + -4 Reorder the terms: 32 + -20u = -4 + 2u Solving 32 + -20u = -4 + 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 + -20u + -2u = -4 + 2u + -2u Combine like terms: -20u + -2u = -22u 32 + -22u = -4 + 2u + -2u Combine like terms: 2u + -2u = 0 32 + -22u = -4 + 0 32 + -22u = -4 Add '-32' to each side of the equation. 32 + -32 + -22u = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -22u = -4 + -32 -22u = -4 + -32 Combine like terms: -4 + -32 = -36 -22u = -36 Divide each side by '-22'. u = 1.636363636 Simplifying u = 1.636363636
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