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Simplifying 5(u + 4) = -4(3u + -8) + u Reorder the terms: 5(4 + u) = -4(3u + -8) + u (4 * 5 + u * 5) = -4(3u + -8) + u (20 + 5u) = -4(3u + -8) + u Reorder the terms: 20 + 5u = -4(-8 + 3u) + u 20 + 5u = (-8 * -4 + 3u * -4) + u 20 + 5u = (32 + -12u) + u Combine like terms: -12u + u = -11u 20 + 5u = 32 + -11u Solving 20 + 5u = 32 + -11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '11u' to each side of the equation. 20 + 5u + 11u = 32 + -11u + 11u Combine like terms: 5u + 11u = 16u 20 + 16u = 32 + -11u + 11u Combine like terms: -11u + 11u = 0 20 + 16u = 32 + 0 20 + 16u = 32 Add '-20' to each side of the equation. 20 + -20 + 16u = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 16u = 32 + -20 16u = 32 + -20 Combine like terms: 32 + -20 = 12 16u = 12 Divide each side by '16'. u = 0.75 Simplifying u = 0.75
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