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Simplifying 3(u + 6) = -4(2u + -9) + 3u Reorder the terms: 3(6 + u) = -4(2u + -9) + 3u (6 * 3 + u * 3) = -4(2u + -9) + 3u (18 + 3u) = -4(2u + -9) + 3u Reorder the terms: 18 + 3u = -4(-9 + 2u) + 3u 18 + 3u = (-9 * -4 + 2u * -4) + 3u 18 + 3u = (36 + -8u) + 3u Combine like terms: -8u + 3u = -5u 18 + 3u = 36 + -5u Solving 18 + 3u = 36 + -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. 18 + 3u + 5u = 36 + -5u + 5u Combine like terms: 3u + 5u = 8u 18 + 8u = 36 + -5u + 5u Combine like terms: -5u + 5u = 0 18 + 8u = 36 + 0 18 + 8u = 36 Add '-18' to each side of the equation. 18 + -18 + 8u = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 8u = 36 + -18 8u = 36 + -18 Combine like terms: 36 + -18 = 18 8u = 18 Divide each side by '8'. u = 2.25 Simplifying u = 2.25
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