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Simplifying 4(u + 1) = -4(4u + -5) + 2u Reorder the terms: 4(1 + u) = -4(4u + -5) + 2u (1 * 4 + u * 4) = -4(4u + -5) + 2u (4 + 4u) = -4(4u + -5) + 2u Reorder the terms: 4 + 4u = -4(-5 + 4u) + 2u 4 + 4u = (-5 * -4 + 4u * -4) + 2u 4 + 4u = (20 + -16u) + 2u Combine like terms: -16u + 2u = -14u 4 + 4u = 20 + -14u Solving 4 + 4u = 20 + -14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '14u' to each side of the equation. 4 + 4u + 14u = 20 + -14u + 14u Combine like terms: 4u + 14u = 18u 4 + 18u = 20 + -14u + 14u Combine like terms: -14u + 14u = 0 4 + 18u = 20 + 0 4 + 18u = 20 Add '-4' to each side of the equation. 4 + -4 + 18u = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 18u = 20 + -4 18u = 20 + -4 Combine like terms: 20 + -4 = 16 18u = 16 Divide each side by '18'. u = 0.8888888889 Simplifying u = 0.8888888889
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