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Simplifying -1(4v + -1w) + 4(4w + 3v) = 0 (4v * -1 + -1w * -1) + 4(4w + 3v) = 0 (-4v + 1w) + 4(4w + 3v) = 0 Reorder the terms: -4v + 1w + 4(3v + 4w) = 0 -4v + 1w + (3v * 4 + 4w * 4) = 0 -4v + 1w + (12v + 16w) = 0 Reorder the terms: -4v + 12v + 1w + 16w = 0 Combine like terms: -4v + 12v = 8v 8v + 1w + 16w = 0 Combine like terms: 1w + 16w = 17w 8v + 17w = 0 Solving 8v + 17w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17w' to each side of the equation. 8v + 17w + -17w = 0 + -17w Combine like terms: 17w + -17w = 0 8v + 0 = 0 + -17w 8v = 0 + -17w Remove the zero: 8v = -17w Divide each side by '8'. v = -2.125w Simplifying v = -2.125w
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