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Simplifying -3(u + -8) = 3u + 6 Reorder the terms: -3(-8 + u) = 3u + 6 (-8 * -3 + u * -3) = 3u + 6 (24 + -3u) = 3u + 6 Reorder the terms: 24 + -3u = 6 + 3u Solving 24 + -3u = 6 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 24 + -3u + -3u = 6 + 3u + -3u Combine like terms: -3u + -3u = -6u 24 + -6u = 6 + 3u + -3u Combine like terms: 3u + -3u = 0 24 + -6u = 6 + 0 24 + -6u = 6 Add '-24' to each side of the equation. 24 + -24 + -6u = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -6u = 6 + -24 -6u = 6 + -24 Combine like terms: 6 + -24 = -18 -6u = -18 Divide each side by '-6'. u = 3 Simplifying u = 3
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