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Simplifying -1(6w + v) + -2(-6v + 6w) = 0 Reorder the terms: -1(v + 6w) + -2(-6v + 6w) = 0 (v * -1 + 6w * -1) + -2(-6v + 6w) = 0 (-1v + -6w) + -2(-6v + 6w) = 0 -1v + -6w + (-6v * -2 + 6w * -2) = 0 -1v + -6w + (12v + -12w) = 0 Reorder the terms: -1v + 12v + -6w + -12w = 0 Combine like terms: -1v + 12v = 11v 11v + -6w + -12w = 0 Combine like terms: -6w + -12w = -18w 11v + -18w = 0 Solving 11v + -18w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18w' to each side of the equation. 11v + -18w + 18w = 0 + 18w Combine like terms: -18w + 18w = 0 11v + 0 = 0 + 18w 11v = 0 + 18w Remove the zero: 11v = 18w Divide each side by '11'. v = 1.636363636w Simplifying v = 1.636363636w
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