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Simplifying 8u + 6v + -3(4u + -6v) = 0 8u + 6v + (4u * -3 + -6v * -3) = 0 8u + 6v + (-12u + 18v) = 0 Reorder the terms: 8u + -12u + 6v + 18v = 0 Combine like terms: 8u + -12u = -4u -4u + 6v + 18v = 0 Combine like terms: 6v + 18v = 24v -4u + 24v = 0 Solving -4u + 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. -4u + 24v + -24v = 0 + -24v Combine like terms: 24v + -24v = 0 -4u + 0 = 0 + -24v -4u = 0 + -24v Remove the zero: -4u = -24v Divide each side by '-4'. u = 6v Simplifying u = 6v
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