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Simplifying -6(u + -6) = -8u + 48 Reorder the terms: -6(-6 + u) = -8u + 48 (-6 * -6 + u * -6) = -8u + 48 (36 + -6u) = -8u + 48 Reorder the terms: 36 + -6u = 48 + -8u Solving 36 + -6u = 48 + -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. 36 + -6u + 8u = 48 + -8u + 8u Combine like terms: -6u + 8u = 2u 36 + 2u = 48 + -8u + 8u Combine like terms: -8u + 8u = 0 36 + 2u = 48 + 0 36 + 2u = 48 Add '-36' to each side of the equation. 36 + -36 + 2u = 48 + -36 Combine like terms: 36 + -36 = 0 0 + 2u = 48 + -36 2u = 48 + -36 Combine like terms: 48 + -36 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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