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Simplifying 3(u + 6) = -3(4u + -8) + 7u Reorder the terms: 3(6 + u) = -3(4u + -8) + 7u (6 * 3 + u * 3) = -3(4u + -8) + 7u (18 + 3u) = -3(4u + -8) + 7u Reorder the terms: 18 + 3u = -3(-8 + 4u) + 7u 18 + 3u = (-8 * -3 + 4u * -3) + 7u 18 + 3u = (24 + -12u) + 7u Combine like terms: -12u + 7u = -5u 18 + 3u = 24 + -5u Solving 18 + 3u = 24 + -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 = 24 + -5u + 5u Combine like terms: 3u + 5u = 8u 18 + 8u = 24 + -5u + 5u Combine like terms: -5u + 5u = 0 18 + 8u = 24 + 0 18 + 8u = 24 Add '-18' to each side of the equation. 18 + -18 + 8u = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 8u = 24 + -18 8u = 24 + -18 Combine like terms: 24 + -18 = 6 8u = 6 Divide each side by '8'. u = 0.75 Simplifying u = 0.75
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