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Simplifying -3(6u + v) + 6(6v + 6u) = 0 (6u * -3 + v * -3) + 6(6v + 6u) = 0 (-18u + -3v) + 6(6v + 6u) = 0 Reorder the terms: -18u + -3v + 6(6u + 6v) = 0 -18u + -3v + (6u * 6 + 6v * 6) = 0 -18u + -3v + (36u + 36v) = 0 Reorder the terms: -18u + 36u + -3v + 36v = 0 Combine like terms: -18u + 36u = 18u 18u + -3v + 36v = 0 Combine like terms: -3v + 36v = 33v 18u + 33v = 0 Solving 18u + 33v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-33v' to each side of the equation. 18u + 33v + -33v = 0 + -33v Combine like terms: 33v + -33v = 0 18u + 0 = 0 + -33v 18u = 0 + -33v Remove the zero: 18u = -33v Divide each side by '18'. u = -1.833333333v Simplifying u = -1.833333333v
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