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Simplifying 5(2w + -1v) + -3(4w + 2v) = 0 Reorder the terms: 5(-1v + 2w) + -3(4w + 2v) = 0 (-1v * 5 + 2w * 5) + -3(4w + 2v) = 0 (-5v + 10w) + -3(4w + 2v) = 0 Reorder the terms: -5v + 10w + -3(2v + 4w) = 0 -5v + 10w + (2v * -3 + 4w * -3) = 0 -5v + 10w + (-6v + -12w) = 0 Reorder the terms: -5v + -6v + 10w + -12w = 0 Combine like terms: -5v + -6v = -11v -11v + 10w + -12w = 0 Combine like terms: 10w + -12w = -2w -11v + -2w = 0 Solving -11v + -2w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2w' to each side of the equation. -11v + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 -11v + 0 = 0 + 2w -11v = 0 + 2w Remove the zero: -11v = 2w Divide each side by '-11'. v = -0.1818181818w Simplifying v = -0.1818181818w
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