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Simplifying -3(2w + -1v) + -6(-4v + -3w) = 0 Reorder the terms: -3(-1v + 2w) + -6(-4v + -3w) = 0 (-1v * -3 + 2w * -3) + -6(-4v + -3w) = 0 (3v + -6w) + -6(-4v + -3w) = 0 3v + -6w + (-4v * -6 + -3w * -6) = 0 3v + -6w + (24v + 18w) = 0 Reorder the terms: 3v + 24v + -6w + 18w = 0 Combine like terms: 3v + 24v = 27v 27v + -6w + 18w = 0 Combine like terms: -6w + 18w = 12w 27v + 12w = 0 Solving 27v + 12w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12w' to each side of the equation. 27v + 12w + -12w = 0 + -12w Combine like terms: 12w + -12w = 0 27v + 0 = 0 + -12w 27v = 0 + -12w Remove the zero: 27v = -12w Divide each side by '27'. v = -0.4444444444w Simplifying v = -0.4444444444w
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