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Simplifying -2(6u + -8) + 2u = 2(u + 3) Reorder the terms: -2(-8 + 6u) + 2u = 2(u + 3) (-8 * -2 + 6u * -2) + 2u = 2(u + 3) (16 + -12u) + 2u = 2(u + 3) Combine like terms: -12u + 2u = -10u 16 + -10u = 2(u + 3) Reorder the terms: 16 + -10u = 2(3 + u) 16 + -10u = (3 * 2 + u * 2) 16 + -10u = (6 + 2u) Solving 16 + -10u = 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. 16 + -10u + -2u = 6 + 2u + -2u Combine like terms: -10u + -2u = -12u 16 + -12u = 6 + 2u + -2u Combine like terms: 2u + -2u = 0 16 + -12u = 6 + 0 16 + -12u = 6 Add '-16' to each side of the equation. 16 + -16 + -12u = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -12u = 6 + -16 -12u = 6 + -16 Combine like terms: 6 + -16 = -10 -12u = -10 Divide each side by '-12'. u = 0.8333333333 Simplifying u = 0.8333333333
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