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Simplifying 3u + 9v + -6(3u + -7v + 5w) = 0 3u + 9v + (3u * -6 + -7v * -6 + 5w * -6) = 0 3u + 9v + (-18u + 42v + -30w) = 0 Reorder the terms: 3u + -18u + 9v + 42v + -30w = 0 Combine like terms: 3u + -18u = -15u -15u + 9v + 42v + -30w = 0 Combine like terms: 9v + 42v = 51v -15u + 51v + -30w = 0 Solving -15u + 51v + -30w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-51v' to each side of the equation. -15u + 51v + -51v + -30w = 0 + -51v Combine like terms: 51v + -51v = 0 -15u + 0 + -30w = 0 + -51v -15u + -30w = 0 + -51v Remove the zero: -15u + -30w = -51v Add '30w' to each side of the equation. -15u + -30w + 30w = -51v + 30w Combine like terms: -30w + 30w = 0 -15u + 0 = -51v + 30w -15u = -51v + 30w Divide each side by '-15'. u = 3.4v + -2w Simplifying u = 3.4v + -2w
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