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Simplifying 3(u + 8) = -2(4u + -3) + 3u Reorder the terms: 3(8 + u) = -2(4u + -3) + 3u (8 * 3 + u * 3) = -2(4u + -3) + 3u (24 + 3u) = -2(4u + -3) + 3u Reorder the terms: 24 + 3u = -2(-3 + 4u) + 3u 24 + 3u = (-3 * -2 + 4u * -2) + 3u 24 + 3u = (6 + -8u) + 3u Combine like terms: -8u + 3u = -5u 24 + 3u = 6 + -5u Solving 24 + 3u = 6 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 24 + 3u + 5u = 6 + -5u + 5u Combine like terms: 3u + 5u = 8u 24 + 8u = 6 + -5u + 5u Combine like terms: -5u + 5u = 0 24 + 8u = 6 + 0 24 + 8u = 6 Add '-24' to each side of the equation. 24 + -24 + 8u = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 8u = 6 + -24 8u = 6 + -24 Combine like terms: 6 + -24 = -18 8u = -18 Divide each side by '8'. u = -2.25 Simplifying u = -2.25
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