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Simplifying -1(-6v + -1w) + -3(-1w + -6v) = 0 (-6v * -1 + -1w * -1) + -3(-1w + -6v) = 0 (6v + 1w) + -3(-1w + -6v) = 0 Reorder the terms: 6v + 1w + -3(-6v + -1w) = 0 6v + 1w + (-6v * -3 + -1w * -3) = 0 6v + 1w + (18v + 3w) = 0 Reorder the terms: 6v + 18v + 1w + 3w = 0 Combine like terms: 6v + 18v = 24v 24v + 1w + 3w = 0 Combine like terms: 1w + 3w = 4w 24v + 4w = 0 Solving 24v + 4w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4w' to each side of the equation. 24v + 4w + -4w = 0 + -4w Combine like terms: 4w + -4w = 0 24v + 0 = 0 + -4w 24v = 0 + -4w Remove the zero: 24v = -4w Divide each side by '24'. v = -0.1666666667w Simplifying v = -0.1666666667w
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