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Simplifying (2u + -8v + 8w) + -7(-2u + 4v + -8w) = 0 Remove parenthesis around (2u + -8v + 8w) 2u + -8v + 8w + -7(-2u + 4v + -8w) = 0 2u + -8v + 8w + (-2u * -7 + 4v * -7 + -8w * -7) = 0 2u + -8v + 8w + (14u + -28v + 56w) = 0 Reorder the terms: 2u + 14u + -8v + -28v + 8w + 56w = 0 Combine like terms: 2u + 14u = 16u 16u + -8v + -28v + 8w + 56w = 0 Combine like terms: -8v + -28v = -36v 16u + -36v + 8w + 56w = 0 Combine like terms: 8w + 56w = 64w 16u + -36v + 64w = 0 Solving 16u + -36v + 64w = 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. 16u + -36v + 36v + 64w = 0 + 36v Combine like terms: -36v + 36v = 0 16u + 0 + 64w = 0 + 36v 16u + 64w = 0 + 36v Remove the zero: 16u + 64w = 36v Add '-64w' to each side of the equation. 16u + 64w + -64w = 36v + -64w Combine like terms: 64w + -64w = 0 16u + 0 = 36v + -64w 16u = 36v + -64w Divide each side by '16'. u = 2.25v + -4w Simplifying u = 2.25v + -4w
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