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Simplifying 10w + 3v + 7w + 5v = 0 Reorder the terms: 3v + 5v + 10w + 7w = 0 Combine like terms: 3v + 5v = 8v 8v + 10w + 7w = 0 Combine like terms: 10w + 7w = 17w 8v + 17w = 0 Solving 8v + 17w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17w' to each side of the equation. 8v + 17w + -17w = 0 + -17w Combine like terms: 17w + -17w = 0 8v + 0 = 0 + -17w 8v = 0 + -17w Remove the zero: 8v = -17w Divide each side by '8'. v = -2.125w Simplifying v = -2.125w
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