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Simplifying 6 + 2(2u + -1) = -2(7u + -5) + 2u Reorder the terms: 6 + 2(-1 + 2u) = -2(7u + -5) + 2u 6 + (-1 * 2 + 2u * 2) = -2(7u + -5) + 2u 6 + (-2 + 4u) = -2(7u + -5) + 2u Combine like terms: 6 + -2 = 4 4 + 4u = -2(7u + -5) + 2u Reorder the terms: 4 + 4u = -2(-5 + 7u) + 2u 4 + 4u = (-5 * -2 + 7u * -2) + 2u 4 + 4u = (10 + -14u) + 2u Combine like terms: -14u + 2u = -12u 4 + 4u = 10 + -12u Solving 4 + 4u = 10 + -12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '12u' to each side of the equation. 4 + 4u + 12u = 10 + -12u + 12u Combine like terms: 4u + 12u = 16u 4 + 16u = 10 + -12u + 12u Combine like terms: -12u + 12u = 0 4 + 16u = 10 + 0 4 + 16u = 10 Add '-4' to each side of the equation. 4 + -4 + 16u = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 16u = 10 + -4 16u = 10 + -4 Combine like terms: 10 + -4 = 6 16u = 6 Divide each side by '16'. u = 0.375 Simplifying u = 0.375
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