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Simplifying -2(9u + -2) + 8u = 2(u + 9) Reorder the terms: -2(-2 + 9u) + 8u = 2(u + 9) (-2 * -2 + 9u * -2) + 8u = 2(u + 9) (4 + -18u) + 8u = 2(u + 9) Combine like terms: -18u + 8u = -10u 4 + -10u = 2(u + 9) Reorder the terms: 4 + -10u = 2(9 + u) 4 + -10u = (9 * 2 + u * 2) 4 + -10u = (18 + 2u) Solving 4 + -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. 4 + -10u + -2u = 18 + 2u + -2u Combine like terms: -10u + -2u = -12u 4 + -12u = 18 + 2u + -2u Combine like terms: 2u + -2u = 0 4 + -12u = 18 + 0 4 + -12u = 18 Add '-4' to each side of the equation. 4 + -4 + -12u = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -12u = 18 + -4 -12u = 18 + -4 Combine like terms: 18 + -4 = 14 -12u = 14 Divide each side by '-12'. u = -1.166666667 Simplifying u = -1.166666667
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