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Simplifying -2(6u + -8) + 2u = 2(u + 9) Reorder the terms: -2(-8 + 6u) + 2u = 2(u + 9) (-8 * -2 + 6u * -2) + 2u = 2(u + 9) (16 + -12u) + 2u = 2(u + 9) Combine like terms: -12u + 2u = -10u 16 + -10u = 2(u + 9) Reorder the terms: 16 + -10u = 2(9 + u) 16 + -10u = (9 * 2 + u * 2) 16 + -10u = (18 + 2u) Solving 16 + -10u = 18 + 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 = 18 + 2u + -2u Combine like terms: -10u + -2u = -12u 16 + -12u = 18 + 2u + -2u Combine like terms: 2u + -2u = 0 16 + -12u = 18 + 0 16 + -12u = 18 Add '-16' to each side of the equation. 16 + -16 + -12u = 18 + -16 Combine like terms: 16 + -16 = 0 0 + -12u = 18 + -16 -12u = 18 + -16 Combine like terms: 18 + -16 = 2 -12u = 2 Divide each side by '-12'. u = -0.1666666667 Simplifying u = -0.1666666667
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