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Simplifying 6u + 8v + -7(6u + -4v + 8w) = 0 6u + 8v + (6u * -7 + -4v * -7 + 8w * -7) = 0 6u + 8v + (-42u + 28v + -56w) = 0 Reorder the terms: 6u + -42u + 8v + 28v + -56w = 0 Combine like terms: 6u + -42u = -36u -36u + 8v + 28v + -56w = 0 Combine like terms: 8v + 28v = 36v -36u + 36v + -56w = 0 Solving -36u + 36v + -56w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-36v' to each side of the equation. -36u + 36v + -36v + -56w = 0 + -36v Combine like terms: 36v + -36v = 0 -36u + 0 + -56w = 0 + -36v -36u + -56w = 0 + -36v Remove the zero: -36u + -56w = -36v Add '56w' to each side of the equation. -36u + -56w + 56w = -36v + 56w Combine like terms: -56w + 56w = 0 -36u + 0 = -36v + 56w -36u = -36v + 56w Divide each side by '-36'. u = v + -1.555555556w Simplifying u = v + -1.555555556w
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