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Simplifying 6(u + 3) = -2(3u + -8) + 6u Reorder the terms: 6(3 + u) = -2(3u + -8) + 6u (3 * 6 + u * 6) = -2(3u + -8) + 6u (18 + 6u) = -2(3u + -8) + 6u Reorder the terms: 18 + 6u = -2(-8 + 3u) + 6u 18 + 6u = (-8 * -2 + 3u * -2) + 6u 18 + 6u = (16 + -6u) + 6u Combine like terms: -6u + 6u = 0 18 + 6u = 16 + 0 18 + 6u = 16 Solving 18 + 6u = 16 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6u = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 6u = 16 + -18 6u = 16 + -18 Combine like terms: 16 + -18 = -2 6u = -2 Divide each side by '6'. u = -0.3333333333 Simplifying u = -0.3333333333
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