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Simplifying 12v + -10w + 3v + 4w = 0 Reorder the terms: 12v + 3v + -10w + 4w = 0 Combine like terms: 12v + 3v = 15v 15v + -10w + 4w = 0 Combine like terms: -10w + 4w = -6w 15v + -6w = 0 Solving 15v + -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. 15v + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 15v + 0 = 0 + 6w 15v = 0 + 6w Remove the zero: 15v = 6w Divide each side by '15'. v = 0.4w Simplifying v = 0.4w
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