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Simplifying 2(u + 7) = -5(4u + -2) + 4u Reorder the terms: 2(7 + u) = -5(4u + -2) + 4u (7 * 2 + u * 2) = -5(4u + -2) + 4u (14 + 2u) = -5(4u + -2) + 4u Reorder the terms: 14 + 2u = -5(-2 + 4u) + 4u 14 + 2u = (-2 * -5 + 4u * -5) + 4u 14 + 2u = (10 + -20u) + 4u Combine like terms: -20u + 4u = -16u 14 + 2u = 10 + -16u Solving 14 + 2u = 10 + -16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '16u' to each side of the equation. 14 + 2u + 16u = 10 + -16u + 16u Combine like terms: 2u + 16u = 18u 14 + 18u = 10 + -16u + 16u Combine like terms: -16u + 16u = 0 14 + 18u = 10 + 0 14 + 18u = 10 Add '-14' to each side of the equation. 14 + -14 + 18u = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 18u = 10 + -14 18u = 10 + -14 Combine like terms: 10 + -14 = -4 18u = -4 Divide each side by '18'. u = -0.2222222222 Simplifying u = -0.2222222222
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