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Simplifying 9w + -5v + -12w + 7v = 0 Reorder the terms: -5v + 7v + 9w + -12w = 0 Combine like terms: -5v + 7v = 2v 2v + 9w + -12w = 0 Combine like terms: 9w + -12w = -3w 2v + -3w = 0 Solving 2v + -3w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3w' to each side of the equation. 2v + -3w + 3w = 0 + 3w Combine like terms: -3w + 3w = 0 2v + 0 = 0 + 3w 2v = 0 + 3w Remove the zero: 2v = 3w Divide each side by '2'. v = 1.5w Simplifying v = 1.5w
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