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Simplifying 8u + 4v + -5(8u + -6v + 7w) = 0 8u + 4v + (8u * -5 + -6v * -5 + 7w * -5) = 0 8u + 4v + (-40u + 30v + -35w) = 0 Reorder the terms: 8u + -40u + 4v + 30v + -35w = 0 Combine like terms: 8u + -40u = -32u -32u + 4v + 30v + -35w = 0 Combine like terms: 4v + 30v = 34v -32u + 34v + -35w = 0 Solving -32u + 34v + -35w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-34v' to each side of the equation. -32u + 34v + -34v + -35w = 0 + -34v Combine like terms: 34v + -34v = 0 -32u + 0 + -35w = 0 + -34v -32u + -35w = 0 + -34v Remove the zero: -32u + -35w = -34v Add '35w' to each side of the equation. -32u + -35w + 35w = -34v + 35w Combine like terms: -35w + 35w = 0 -32u + 0 = -34v + 35w -32u = -34v + 35w Divide each side by '-32'. u = 1.0625v + -1.09375w Simplifying u = 1.0625v + -1.09375w
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