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Simplifying -14(8u + -5v + 3w) = 0 (8u * -14 + -5v * -14 + 3w * -14) = 0 (-112u + 70v + -42w) = 0 Solving -112u + 70v + -42w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-70v' to each side of the equation. -112u + 70v + -70v + -42w = 0 + -70v Combine like terms: 70v + -70v = 0 -112u + 0 + -42w = 0 + -70v -112u + -42w = 0 + -70v Remove the zero: -112u + -42w = -70v Add '42w' to each side of the equation. -112u + -42w + 42w = -70v + 42w Combine like terms: -42w + 42w = 0 -112u + 0 = -70v + 42w -112u = -70v + 42w Divide each side by '-112'. u = 0.625v + -0.375w Simplifying u = 0.625v + -0.375w
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