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Simplifying (-2)(4v + -1w) + 6((-3) * w + -3v) = 0 (4v * -2 + -1w * -2) + 6((-3) * w + -3v) = 0 (-8v + 2w) + 6((-3) * w + -3v) = 0 Reorder the terms: -8v + 2w + 6(-3v + -3w) = 0 -8v + 2w + (-3v * 6 + -3w * 6) = 0 -8v + 2w + (-18v + -18w) = 0 Reorder the terms: -8v + -18v + 2w + -18w = 0 Combine like terms: -8v + -18v = -26v -26v + 2w + -18w = 0 Combine like terms: 2w + -18w = -16w -26v + -16w = 0 Solving -26v + -16w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16w' to each side of the equation. -26v + -16w + 16w = 0 + 16w Combine like terms: -16w + 16w = 0 -26v + 0 = 0 + 16w -26v = 0 + 16w Remove the zero: -26v = 16w Divide each side by '-26'. v = -0.6153846154w Simplifying v = -0.6153846154w
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