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Simplifying -2(u + -9) = -6u + 42 Reorder the terms: -2(-9 + u) = -6u + 42 (-9 * -2 + u * -2) = -6u + 42 (18 + -2u) = -6u + 42 Reorder the terms: 18 + -2u = 42 + -6u Solving 18 + -2u = 42 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 18 + -2u + 6u = 42 + -6u + 6u Combine like terms: -2u + 6u = 4u 18 + 4u = 42 + -6u + 6u Combine like terms: -6u + 6u = 0 18 + 4u = 42 + 0 18 + 4u = 42 Add '-18' to each side of the equation. 18 + -18 + 4u = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 4u = 42 + -18 4u = 42 + -18 Combine like terms: 42 + -18 = 24 4u = 24 Divide each side by '4'. u = 6 Simplifying u = 6
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