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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 = -18u 32 + -18u = 4 + -2u + 2u Combine like terms: -2u + 2u = 0 32 + -18u = 4 + 0 32 + -18u = 4 Add '-32' to each side of the equation. 32 + -32 + -18u = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -18u = 4 + -32 -18u = 4 + -32 Combine like terms: 4 + -32 = -28 -18u = -28 Divide each side by '-18'. u = 1.555555556 Simplifying u = 1.555555556
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