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Simplifying 3v + 8u + -7(8u + -3v) = 0 3v + 8u + (8u * -7 + -3v * -7) = 0 3v + 8u + (-56u + 21v) = 0 Reorder the terms: 8u + -56u + 3v + 21v = 0 Combine like terms: 8u + -56u = -48u -48u + 3v + 21v = 0 Combine like terms: 3v + 21v = 24v -48u + 24v = 0 Solving -48u + 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. -48u + 24v + -24v = 0 + -24v Combine like terms: 24v + -24v = 0 -48u + 0 = 0 + -24v -48u = 0 + -24v Remove the zero: -48u = -24v Divide each side by '-48'. u = 0.5v Simplifying u = 0.5v
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