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Simplifying -2(-3v + u) + 6(-1u + 3v) = 0 Reorder the terms: -2(u + -3v) + 6(-1u + 3v) = 0 (u * -2 + -3v * -2) + 6(-1u + 3v) = 0 (-2u + 6v) + 6(-1u + 3v) = 0 -2u + 6v + (-1u * 6 + 3v * 6) = 0 -2u + 6v + (-6u + 18v) = 0 Reorder the terms: -2u + -6u + 6v + 18v = 0 Combine like terms: -2u + -6u = -8u -8u + 6v + 18v = 0 Combine like terms: 6v + 18v = 24v -8u + 24v = 0 Solving -8u + 24v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-24v' to each side of the equation. -8u + 24v + -24v = 0 + -24v Combine like terms: 24v + -24v = 0 -8u + 0 = 0 + -24v -8u = 0 + -24v Remove the zero: -8u = -24v Divide each side by '-8'. u = 3v Simplifying u = 3v
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