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Simplifying 6u + 2 + -4u + -2(-2u + -1) = 2(u + -3) Reorder the terms: 6u + 2 + -4u + -2(-1 + -2u) = 2(u + -3) 6u + 2 + -4u + (-1 * -2 + -2u * -2) = 2(u + -3) 6u + 2 + -4u + (2 + 4u) = 2(u + -3) Reorder the terms: 2 + 2 + 6u + -4u + 4u = 2(u + -3) Combine like terms: 2 + 2 = 4 4 + 6u + -4u + 4u = 2(u + -3) Combine like terms: 6u + -4u = 2u 4 + 2u + 4u = 2(u + -3) Combine like terms: 2u + 4u = 6u 4 + 6u = 2(u + -3) Reorder the terms: 4 + 6u = 2(-3 + u) 4 + 6u = (-3 * 2 + u * 2) 4 + 6u = (-6 + 2u) Solving 4 + 6u = -6 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 4 + 6u + -2u = -6 + 2u + -2u Combine like terms: 6u + -2u = 4u 4 + 4u = -6 + 2u + -2u Combine like terms: 2u + -2u = 0 4 + 4u = -6 + 0 4 + 4u = -6 Add '-4' to each side of the equation. 4 + -4 + 4u = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 4u = -6 + -4 4u = -6 + -4 Combine like terms: -6 + -4 = -10 4u = -10 Divide each side by '4'. u = -2.5 Simplifying u = -2.5
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