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Simplifying 6u + -4 + 2(2u + 8) = -2(u + 2) Reorder the terms: 6u + -4 + 2(8 + 2u) = -2(u + 2) 6u + -4 + (8 * 2 + 2u * 2) = -2(u + 2) 6u + -4 + (16 + 4u) = -2(u + 2) Reorder the terms: -4 + 16 + 6u + 4u = -2(u + 2) Combine like terms: -4 + 16 = 12 12 + 6u + 4u = -2(u + 2) Combine like terms: 6u + 4u = 10u 12 + 10u = -2(u + 2) Reorder the terms: 12 + 10u = -2(2 + u) 12 + 10u = (2 * -2 + u * -2) 12 + 10u = (-4 + -2u) Solving 12 + 10u = -4 + -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. 12 + 10u + 2u = -4 + -2u + 2u Combine like terms: 10u + 2u = 12u 12 + 12u = -4 + -2u + 2u Combine like terms: -2u + 2u = 0 12 + 12u = -4 + 0 12 + 12u = -4 Add '-12' to each side of the equation. 12 + -12 + 12u = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 12u = -4 + -12 12u = -4 + -12 Combine like terms: -4 + -12 = -16 12u = -16 Divide each side by '12'. u = -1.333333333 Simplifying u = -1.333333333
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