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Simplifying -3(6w + v) + -4(-5v + -3w) = 0 Reorder the terms: -3(v + 6w) + -4(-5v + -3w) = 0 (v * -3 + 6w * -3) + -4(-5v + -3w) = 0 (-3v + -18w) + -4(-5v + -3w) = 0 -3v + -18w + (-5v * -4 + -3w * -4) = 0 -3v + -18w + (20v + 12w) = 0 Reorder the terms: -3v + 20v + -18w + 12w = 0 Combine like terms: -3v + 20v = 17v 17v + -18w + 12w = 0 Combine like terms: -18w + 12w = -6w 17v + -6w = 0 Solving 17v + -6w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6w' to each side of the equation. 17v + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 17v + 0 = 0 + 6w 17v = 0 + 6w Remove the zero: 17v = 6w Divide each side by '17'. v = 0.3529411765w Simplifying v = 0.3529411765w
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