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Simplifying u + -2 + 4(2u + 1) = -5(u + 2) Reorder the terms: u + -2 + 4(1 + 2u) = -5(u + 2) u + -2 + (1 * 4 + 2u * 4) = -5(u + 2) u + -2 + (4 + 8u) = -5(u + 2) Reorder the terms: -2 + 4 + u + 8u = -5(u + 2) Combine like terms: -2 + 4 = 2 2 + u + 8u = -5(u + 2) Combine like terms: u + 8u = 9u 2 + 9u = -5(u + 2) Reorder the terms: 2 + 9u = -5(2 + u) 2 + 9u = (2 * -5 + u * -5) 2 + 9u = (-10 + -5u) Solving 2 + 9u = -10 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 2 + 9u + 5u = -10 + -5u + 5u Combine like terms: 9u + 5u = 14u 2 + 14u = -10 + -5u + 5u Combine like terms: -5u + 5u = 0 2 + 14u = -10 + 0 2 + 14u = -10 Add '-2' to each side of the equation. 2 + -2 + 14u = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 14u = -10 + -2 14u = -10 + -2 Combine like terms: -10 + -2 = -12 14u = -12 Divide each side by '14'. u = -0.8571428571 Simplifying u = -0.8571428571
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