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Simplifying 8u + 4v + -7(8u + -6v + 5w) = 0 8u + 4v + (8u * -7 + -6v * -7 + 5w * -7) = 0 8u + 4v + (-56u + 42v + -35w) = 0 Reorder the terms: 8u + -56u + 4v + 42v + -35w = 0 Combine like terms: 8u + -56u = -48u -48u + 4v + 42v + -35w = 0 Combine like terms: 4v + 42v = 46v -48u + 46v + -35w = 0 Solving -48u + 46v + -35w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-46v' to each side of the equation. -48u + 46v + -46v + -35w = 0 + -46v Combine like terms: 46v + -46v = 0 -48u + 0 + -35w = 0 + -46v -48u + -35w = 0 + -46v Remove the zero: -48u + -35w = -46v Add '35w' to each side of the equation. -48u + -35w + 35w = -46v + 35w Combine like terms: -35w + 35w = 0 -48u + 0 = -46v + 35w -48u = -46v + 35w Divide each side by '-48'. u = 0.9583333333v + -0.7291666667w Simplifying u = 0.9583333333v + -0.7291666667w
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