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Simplifying -2(u + -9) = 8u + -42 Reorder the terms: -2(-9 + u) = 8u + -42 (-9 * -2 + u * -2) = 8u + -42 (18 + -2u) = 8u + -42 Reorder the terms: 18 + -2u = -42 + 8u Solving 18 + -2u = -42 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 18 + -2u + -8u = -42 + 8u + -8u Combine like terms: -2u + -8u = -10u 18 + -10u = -42 + 8u + -8u Combine like terms: 8u + -8u = 0 18 + -10u = -42 + 0 18 + -10u = -42 Add '-18' to each side of the equation. 18 + -18 + -10u = -42 + -18 Combine like terms: 18 + -18 = 0 0 + -10u = -42 + -18 -10u = -42 + -18 Combine like terms: -42 + -18 = -60 -10u = -60 Divide each side by '-10'. u = 6 Simplifying u = 6
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