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Simplifying -1(-2w + v) + 4(3v + -3w) = 0 Reorder the terms: -1(v + -2w) + 4(3v + -3w) = 0 (v * -1 + -2w * -1) + 4(3v + -3w) = 0 (-1v + 2w) + 4(3v + -3w) = 0 -1v + 2w + (3v * 4 + -3w * 4) = 0 -1v + 2w + (12v + -12w) = 0 Reorder the terms: -1v + 12v + 2w + -12w = 0 Combine like terms: -1v + 12v = 11v 11v + 2w + -12w = 0 Combine like terms: 2w + -12w = -10w 11v + -10w = 0 Solving 11v + -10w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10w' to each side of the equation. 11v + -10w + 10w = 0 + 10w Combine like terms: -10w + 10w = 0 11v + 0 = 0 + 10w 11v = 0 + 10w Remove the zero: 11v = 10w Divide each side by '11'. v = 0.9090909091w Simplifying v = 0.9090909091w
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