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Simplifying 3u + 4v + -5(3u + -7v + 2w) = 0 3u + 4v + (3u * -5 + -7v * -5 + 2w * -5) = 0 3u + 4v + (-15u + 35v + -10w) = 0 Reorder the terms: 3u + -15u + 4v + 35v + -10w = 0 Combine like terms: 3u + -15u = -12u -12u + 4v + 35v + -10w = 0 Combine like terms: 4v + 35v = 39v -12u + 39v + -10w = 0 Solving -12u + 39v + -10w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-39v' to each side of the equation. -12u + 39v + -39v + -10w = 0 + -39v Combine like terms: 39v + -39v = 0 -12u + 0 + -10w = 0 + -39v -12u + -10w = 0 + -39v Remove the zero: -12u + -10w = -39v Add '10w' to each side of the equation. -12u + -10w + 10w = -39v + 10w Combine like terms: -10w + 10w = 0 -12u + 0 = -39v + 10w -12u = -39v + 10w Divide each side by '-12'. u = 3.25v + -0.8333333333w Simplifying u = 3.25v + -0.8333333333w
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