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Simplifying 8u + 6v + -5(8u + -2v + 3w) = 0 8u + 6v + (8u * -5 + -2v * -5 + 3w * -5) = 0 8u + 6v + (-40u + 10v + -15w) = 0 Reorder the terms: 8u + -40u + 6v + 10v + -15w = 0 Combine like terms: 8u + -40u = -32u -32u + 6v + 10v + -15w = 0 Combine like terms: 6v + 10v = 16v -32u + 16v + -15w = 0 Solving -32u + 16v + -15w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16v' to each side of the equation. -32u + 16v + -16v + -15w = 0 + -16v Combine like terms: 16v + -16v = 0 -32u + 0 + -15w = 0 + -16v -32u + -15w = 0 + -16v Remove the zero: -32u + -15w = -16v Add '15w' to each side of the equation. -32u + -15w + 15w = -16v + 15w Combine like terms: -15w + 15w = 0 -32u + 0 = -16v + 15w -32u = -16v + 15w Divide each side by '-32'. u = 0.5v + -0.46875w Simplifying u = 0.5v + -0.46875w
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