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Simplifying -4(-4v + -1w) + -4(3w + -3v) = 0 (-4v * -4 + -1w * -4) + -4(3w + -3v) = 0 (16v + 4w) + -4(3w + -3v) = 0 Reorder the terms: 16v + 4w + -4(-3v + 3w) = 0 16v + 4w + (-3v * -4 + 3w * -4) = 0 16v + 4w + (12v + -12w) = 0 Reorder the terms: 16v + 12v + 4w + -12w = 0 Combine like terms: 16v + 12v = 28v 28v + 4w + -12w = 0 Combine like terms: 4w + -12w = -8w 28v + -8w = 0 Solving 28v + -8w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8w' to each side of the equation. 28v + -8w + 8w = 0 + 8w Combine like terms: -8w + 8w = 0 28v + 0 = 0 + 8w 28v = 0 + 8w Remove the zero: 28v = 8w Divide each side by '28'. v = 0.2857142857w Simplifying v = 0.2857142857w
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