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Simplifying -3(-6w + v) + (5v + w) = 0 Reorder the terms: -3(v + -6w) + (5v + w) = 0 (v * -3 + -6w * -3) + (5v + w) = 0 (-3v + 18w) + (5v + w) = 0 Remove parenthesis around (5v + w) -3v + 18w + 5v + w = 0 Reorder the terms: -3v + 5v + 18w + w = 0 Combine like terms: -3v + 5v = 2v 2v + 18w + w = 0 Combine like terms: 18w + w = 19w 2v + 19w = 0 Solving 2v + 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. 2v + 19w + -19w = 0 + -19w Combine like terms: 19w + -19w = 0 2v + 0 = 0 + -19w 2v = 0 + -19w Remove the zero: 2v = -19w Divide each side by '2'. v = -9.5w Simplifying v = -9.5w
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