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Simplifying -3(v + w) + -6(-4w + v) = 0 (v * -3 + w * -3) + -6(-4w + v) = 0 (-3v + -3w) + -6(-4w + v) = 0 Reorder the terms: -3v + -3w + -6(v + -4w) = 0 -3v + -3w + (v * -6 + -4w * -6) = 0 -3v + -3w + (-6v + 24w) = 0 Reorder the terms: -3v + -6v + -3w + 24w = 0 Combine like terms: -3v + -6v = -9v -9v + -3w + 24w = 0 Combine like terms: -3w + 24w = 21w -9v + 21w = 0 Solving -9v + 21w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21w' to each side of the equation. -9v + 21w + -21w = 0 + -21w Combine like terms: 21w + -21w = 0 -9v + 0 = 0 + -21w -9v = 0 + -21w Remove the zero: -9v = -21w Divide each side by '-9'. v = 2.333333333w Simplifying v = 2.333333333w
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