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Simplifying 2(u + 2) = -4(5u + -2) + 6u Reorder the terms: 2(2 + u) = -4(5u + -2) + 6u (2 * 2 + u * 2) = -4(5u + -2) + 6u (4 + 2u) = -4(5u + -2) + 6u Reorder the terms: 4 + 2u = -4(-2 + 5u) + 6u 4 + 2u = (-2 * -4 + 5u * -4) + 6u 4 + 2u = (8 + -20u) + 6u Combine like terms: -20u + 6u = -14u 4 + 2u = 8 + -14u Solving 4 + 2u = 8 + -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 + 2u + 14u = 8 + -14u + 14u Combine like terms: 2u + 14u = 16u 4 + 16u = 8 + -14u + 14u Combine like terms: -14u + 14u = 0 4 + 16u = 8 + 0 4 + 16u = 8 Add '-4' to each side of the equation. 4 + -4 + 16u = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 16u = 8 + -4 16u = 8 + -4 Combine like terms: 8 + -4 = 4 16u = 4 Divide each side by '16'. u = 0.25 Simplifying u = 0.25
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