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Simplifying 6(u + 4) = -2(4u + -9) + 5u Reorder the terms: 6(4 + u) = -2(4u + -9) + 5u (4 * 6 + u * 6) = -2(4u + -9) + 5u (24 + 6u) = -2(4u + -9) + 5u Reorder the terms: 24 + 6u = -2(-9 + 4u) + 5u 24 + 6u = (-9 * -2 + 4u * -2) + 5u 24 + 6u = (18 + -8u) + 5u Combine like terms: -8u + 5u = -3u 24 + 6u = 18 + -3u Solving 24 + 6u = 18 + -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 + 6u + 3u = 18 + -3u + 3u Combine like terms: 6u + 3u = 9u 24 + 9u = 18 + -3u + 3u Combine like terms: -3u + 3u = 0 24 + 9u = 18 + 0 24 + 9u = 18 Add '-24' to each side of the equation. 24 + -24 + 9u = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 9u = 18 + -24 9u = 18 + -24 Combine like terms: 18 + -24 = -6 9u = -6 Divide each side by '9'. u = -0.6666666667 Simplifying u = -0.6666666667
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