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Simplifying 2u + 2v + -4(2 + -4v + 7w) = 0 2u + 2v + (2 * -4 + -4v * -4 + 7w * -4) = 0 2u + 2v + (-8 + 16v + -28w) = 0 Reorder the terms: -8 + 2u + 2v + 16v + -28w = 0 Combine like terms: 2v + 16v = 18v -8 + 2u + 18v + -28w = 0 Solving -8 + 2u + 18v + -28w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2u + 18v + 8 + -28w = 0 + 8 Reorder the terms: -8 + 8 + 2u + 18v + -28w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2u + 18v + -28w = 0 + 8 2u + 18v + -28w = 0 + 8 Combine like terms: 0 + 8 = 8 2u + 18v + -28w = 8 Add '-18v' to each side of the equation. 2u + 18v + -18v + -28w = 8 + -18v Combine like terms: 18v + -18v = 0 2u + 0 + -28w = 8 + -18v 2u + -28w = 8 + -18v Add '28w' to each side of the equation. 2u + -28w + 28w = 8 + -18v + 28w Combine like terms: -28w + 28w = 0 2u + 0 = 8 + -18v + 28w 2u = 8 + -18v + 28w Divide each side by '2'. u = 4 + -9v + 14w Simplifying u = 4 + -9v + 14w
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