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Simplifying 7u + 9w + -3v + u + -1w + -1w = 0 Reorder the terms: 7u + u + -3v + 9w + -1w + -1w = 0 Combine like terms: 7u + u = 8u 8u + -3v + 9w + -1w + -1w = 0 Combine like terms: 9w + -1w = 8w 8u + -3v + 8w + -1w = 0 Combine like terms: 8w + -1w = 7w 8u + -3v + 7w = 0 Solving 8u + -3v + 7w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3v' to each side of the equation. 8u + -3v + 3v + 7w = 0 + 3v Combine like terms: -3v + 3v = 0 8u + 0 + 7w = 0 + 3v 8u + 7w = 0 + 3v Remove the zero: 8u + 7w = 3v Add '-7w' to each side of the equation. 8u + 7w + -7w = 3v + -7w Combine like terms: 7w + -7w = 0 8u + 0 = 3v + -7w 8u = 3v + -7w Divide each side by '8'. u = 0.375v + -0.875w Simplifying u = 0.375v + -0.875w
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