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Simplifying -4(4w + -1v) + -1(v + -2w) = 0 Reorder the terms: -4(-1v + 4w) + -1(v + -2w) = 0 (-1v * -4 + 4w * -4) + -1(v + -2w) = 0 (4v + -16w) + -1(v + -2w) = 0 4v + -16w + (v * -1 + -2w * -1) = 0 4v + -16w + (-1v + 2w) = 0 Reorder the terms: 4v + -1v + -16w + 2w = 0 Combine like terms: 4v + -1v = 3v 3v + -16w + 2w = 0 Combine like terms: -16w + 2w = -14w 3v + -14w = 0 Solving 3v + -14w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14w' to each side of the equation. 3v + -14w + 14w = 0 + 14w Combine like terms: -14w + 14w = 0 3v + 0 = 0 + 14w 3v = 0 + 14w Remove the zero: 3v = 14w Divide each side by '3'. v = 4.666666667w Simplifying v = 4.666666667w
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