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Simplifying v + v + v + -1v + -1v + 2v + 6 + -1v + 4 = 9 Reorder the terms: 6 + 4 + v + v + v + -1v + -1v + 2v + -1v = 9 Combine like terms: 6 + 4 = 10 10 + v + v + v + -1v + -1v + 2v + -1v = 9 Combine like terms: v + v = 2v 10 + 2v + v + -1v + -1v + 2v + -1v = 9 Combine like terms: 2v + v = 3v 10 + 3v + -1v + -1v + 2v + -1v = 9 Combine like terms: 3v + -1v = 2v 10 + 2v + -1v + 2v + -1v = 9 Combine like terms: 2v + -1v = 1v 10 + 1v + 2v + -1v = 9 Combine like terms: 1v + 2v = 3v 10 + 3v + -1v = 9 Combine like terms: 3v + -1v = 2v 10 + 2v = 9 Solving 10 + 2v = 9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2v = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 2v = 9 + -10 2v = 9 + -10 Combine like terms: 9 + -10 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5
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