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Simplifying 24 = -2u + 8(u + 6) Reorder the terms: 24 = -2u + 8(6 + u) 24 = -2u + (6 * 8 + u * 8) 24 = -2u + (48 + 8u) Reorder the terms: 24 = 48 + -2u + 8u Combine like terms: -2u + 8u = 6u 24 = 48 + 6u Solving 24 = 48 + 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. 24 + -6u = 48 + 6u + -6u Combine like terms: 6u + -6u = 0 24 + -6u = 48 + 0 24 + -6u = 48 Add '-24' to each side of the equation. 24 + -24 + -6u = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -6u = 48 + -24 -6u = 48 + -24 Combine like terms: 48 + -24 = 24 -6u = 24 Divide each side by '-6'. u = -4 Simplifying u = -4
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