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Simplifying 2(u + 6) = 8u + -24 Reorder the terms: 2(6 + u) = 8u + -24 (6 * 2 + u * 2) = 8u + -24 (12 + 2u) = 8u + -24 Reorder the terms: 12 + 2u = -24 + 8u Solving 12 + 2u = -24 + 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 = -24 + 8u + -8u Combine like terms: 2u + -8u = -6u 12 + -6u = -24 + 8u + -8u Combine like terms: 8u + -8u = 0 12 + -6u = -24 + 0 12 + -6u = -24 Add '-12' to each side of the equation. 12 + -12 + -6u = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -6u = -24 + -12 -6u = -24 + -12 Combine like terms: -24 + -12 = -36 -6u = -36 Divide each side by '-6'. u = 6 Simplifying u = 6
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