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Simplifying 4(8 + -5u) = -2u + -5 (8 * 4 + -5u * 4) = -2u + -5 (32 + -20u) = -2u + -5 Reorder the terms: 32 + -20u = -5 + -2u Solving 32 + -20u = -5 + -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 = -5 + -2u + 2u Combine like terms: -20u + 2u = -18u 32 + -18u = -5 + -2u + 2u Combine like terms: -2u + 2u = 0 32 + -18u = -5 + 0 32 + -18u = -5 Add '-32' to each side of the equation. 32 + -32 + -18u = -5 + -32 Combine like terms: 32 + -32 = 0 0 + -18u = -5 + -32 -18u = -5 + -32 Combine like terms: -5 + -32 = -37 -18u = -37 Divide each side by '-18'. u = 2.055555556 Simplifying u = 2.055555556
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