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Simplifying 8u + 4v + -2(8u + -3v + 7w) = 0 8u + 4v + (8u * -2 + -3v * -2 + 7w * -2) = 0 8u + 4v + (-16u + 6v + -14w) = 0 Reorder the terms: 8u + -16u + 4v + 6v + -14w = 0 Combine like terms: 8u + -16u = -8u -8u + 4v + 6v + -14w = 0 Combine like terms: 4v + 6v = 10v -8u + 10v + -14w = 0 Solving -8u + 10v + -14w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10v' to each side of the equation. -8u + 10v + -10v + -14w = 0 + -10v Combine like terms: 10v + -10v = 0 -8u + 0 + -14w = 0 + -10v -8u + -14w = 0 + -10v Remove the zero: -8u + -14w = -10v Add '14w' to each side of the equation. -8u + -14w + 14w = -10v + 14w Combine like terms: -14w + 14w = 0 -8u + 0 = -10v + 14w -8u = -10v + 14w Divide each side by '-8'. u = 1.25v + -1.75w Simplifying u = 1.25v + -1.75w
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