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Simplifying -3(6w + -1v) + (-2v + w) = 0 Reorder the terms: -3(-1v + 6w) + (-2v + w) = 0 (-1v * -3 + 6w * -3) + (-2v + w) = 0 (3v + -18w) + (-2v + w) = 0 Remove parenthesis around (-2v + w) 3v + -18w + -2v + w = 0 Reorder the terms: 3v + -2v + -18w + w = 0 Combine like terms: 3v + -2v = 1v 1v + -18w + w = 0 Combine like terms: -18w + w = -17w 1v + -17w = 0 Solving 1v + -17w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '17w' to each side of the equation. 1v + -17w + 17w = 0 + 17w Combine like terms: -17w + 17w = 0 1v + 0 = 0 + 17w 1v = 0 + 17w Remove the zero: 1v = 17w Divide each side by '1'. v = 17w Simplifying v = 17w
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