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Simplifying (9u + -5v + 9w) + -7(-9u + 2v + -9w) = 0 Remove parenthesis around (9u + -5v + 9w) 9u + -5v + 9w + -7(-9u + 2v + -9w) = 0 9u + -5v + 9w + (-9u * -7 + 2v * -7 + -9w * -7) = 0 9u + -5v + 9w + (63u + -14v + 63w) = 0 Reorder the terms: 9u + 63u + -5v + -14v + 9w + 63w = 0 Combine like terms: 9u + 63u = 72u 72u + -5v + -14v + 9w + 63w = 0 Combine like terms: -5v + -14v = -19v 72u + -19v + 9w + 63w = 0 Combine like terms: 9w + 63w = 72w 72u + -19v + 72w = 0 Solving 72u + -19v + 72w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '19v' to each side of the equation. 72u + -19v + 19v + 72w = 0 + 19v Combine like terms: -19v + 19v = 0 72u + 0 + 72w = 0 + 19v 72u + 72w = 0 + 19v Remove the zero: 72u + 72w = 19v Add '-72w' to each side of the equation. 72u + 72w + -72w = 19v + -72w Combine like terms: 72w + -72w = 0 72u + 0 = 19v + -72w 72u = 19v + -72w Divide each side by '72'. u = 0.2638888889v + -1w Simplifying u = 0.2638888889v + -1w
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