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Simplifying -5u + 24 = -2(u + -3) Reorder the terms: 24 + -5u = -2(u + -3) Reorder the terms: 24 + -5u = -2(-3 + u) 24 + -5u = (-3 * -2 + u * -2) 24 + -5u = (6 + -2u) Solving 24 + -5u = 6 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 24 + -5u + 2u = 6 + -2u + 2u Combine like terms: -5u + 2u = -3u 24 + -3u = 6 + -2u + 2u Combine like terms: -2u + 2u = 0 24 + -3u = 6 + 0 24 + -3u = 6 Add '-24' to each side of the equation. 24 + -24 + -3u = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -3u = 6 + -24 -3u = 6 + -24 Combine like terms: 6 + -24 = -18 -3u = -18 Divide each side by '-3'. u = 6 Simplifying u = 6
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