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Simplifying 4u + 6v + -3(3u + -6v) = 0 4u + 6v + (3u * -3 + -6v * -3) = 0 4u + 6v + (-9u + 18v) = 0 Reorder the terms: 4u + -9u + 6v + 18v = 0 Combine like terms: 4u + -9u = -5u -5u + 6v + 18v = 0 Combine like terms: 6v + 18v = 24v -5u + 24v = 0 Solving -5u + 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. -5u + 24v + -24v = 0 + -24v Combine like terms: 24v + -24v = 0 -5u + 0 = 0 + -24v -5u = 0 + -24v Remove the zero: -5u = -24v Divide each side by '-5'. u = 4.8v Simplifying u = 4.8v
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