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Simplifying -2(u + 7) = 8u + 46 Reorder the terms: -2(7 + u) = 8u + 46 (7 * -2 + u * -2) = 8u + 46 (-14 + -2u) = 8u + 46 Reorder the terms: -14 + -2u = 46 + 8u Solving -14 + -2u = 46 + 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. -14 + -2u + -8u = 46 + 8u + -8u Combine like terms: -2u + -8u = -10u -14 + -10u = 46 + 8u + -8u Combine like terms: 8u + -8u = 0 -14 + -10u = 46 + 0 -14 + -10u = 46 Add '14' to each side of the equation. -14 + 14 + -10u = 46 + 14 Combine like terms: -14 + 14 = 0 0 + -10u = 46 + 14 -10u = 46 + 14 Combine like terms: 46 + 14 = 60 -10u = 60 Divide each side by '-10'. u = -6 Simplifying u = -6
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