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Simplifying (2u + -7v + 6w) + -6(-2u + 9v + -2w) = 0 Remove parenthesis around (2u + -7v + 6w) 2u + -7v + 6w + -6(-2u + 9v + -2w) = 0 2u + -7v + 6w + (-2u * -6 + 9v * -6 + -2w * -6) = 0 2u + -7v + 6w + (12u + -54v + 12w) = 0 Reorder the terms: 2u + 12u + -7v + -54v + 6w + 12w = 0 Combine like terms: 2u + 12u = 14u 14u + -7v + -54v + 6w + 12w = 0 Combine like terms: -7v + -54v = -61v 14u + -61v + 6w + 12w = 0 Combine like terms: 6w + 12w = 18w 14u + -61v + 18w = 0 Solving 14u + -61v + 18w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '61v' to each side of the equation. 14u + -61v + 61v + 18w = 0 + 61v Combine like terms: -61v + 61v = 0 14u + 0 + 18w = 0 + 61v 14u + 18w = 0 + 61v Remove the zero: 14u + 18w = 61v Add '-18w' to each side of the equation. 14u + 18w + -18w = 61v + -18w Combine like terms: 18w + -18w = 0 14u + 0 = 61v + -18w 14u = 61v + -18w Divide each side by '14'. u = 4.357142857v + -1.285714286w Simplifying u = 4.357142857v + -1.285714286w
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