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