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Simplifying -2(u + 6) = -8u + 48 Reorder the terms: -2(6 + u) = -8u + 48 (6 * -2 + u * -2) = -8u + 48 (-12 + -2u) = -8u + 48 Reorder the terms: -12 + -2u = 48 + -8u Solving -12 + -2u = 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. -12 + -2u + 8u = 48 + -8u + 8u Combine like terms: -2u + 8u = 6u -12 + 6u = 48 + -8u + 8u Combine like terms: -8u + 8u = 0 -12 + 6u = 48 + 0 -12 + 6u = 48 Add '12' to each side of the equation. -12 + 12 + 6u = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 6u = 48 + 12 6u = 48 + 12 Combine like terms: 48 + 12 = 60 6u = 60 Divide each side by '6'. u = 10 Simplifying u = 10
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