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Simplifying -1(4w + v) + 2(-1v + 6w) = 0 Reorder the terms: -1(v + 4w) + 2(-1v + 6w) = 0 (v * -1 + 4w * -1) + 2(-1v + 6w) = 0 (-1v + -4w) + 2(-1v + 6w) = 0 -1v + -4w + (-1v * 2 + 6w * 2) = 0 -1v + -4w + (-2v + 12w) = 0 Reorder the terms: -1v + -2v + -4w + 12w = 0 Combine like terms: -1v + -2v = -3v -3v + -4w + 12w = 0 Combine like terms: -4w + 12w = 8w -3v + 8w = 0 Solving -3v + 8w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8w' to each side of the equation. -3v + 8w + -8w = 0 + -8w Combine like terms: 8w + -8w = 0 -3v + 0 = 0 + -8w -3v = 0 + -8w Remove the zero: -3v = -8w Divide each side by '-3'. v = 2.666666667w Simplifying v = 2.666666667w
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