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Simplifying -3(6w + -1v) + -1(6v + w) = 0 Reorder the terms: -3(-1v + 6w) + -1(6v + w) = 0 (-1v * -3 + 6w * -3) + -1(6v + w) = 0 (3v + -18w) + -1(6v + w) = 0 3v + -18w + (6v * -1 + w * -1) = 0 3v + -18w + (-6v + -1w) = 0 Reorder the terms: 3v + -6v + -18w + -1w = 0 Combine like terms: 3v + -6v = -3v -3v + -18w + -1w = 0 Combine like terms: -18w + -1w = -19w -3v + -19w = 0 Solving -3v + -19w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19w' to each side of the equation. -3v + -19w + 19w = 0 + 19w Combine like terms: -19w + 19w = 0 -3v + 0 = 0 + 19w -3v = 0 + 19w Remove the zero: -3v = 19w Divide each side by '-3'. v = -6.333333333w Simplifying v = -6.333333333w
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