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Simplifying 5v + -5v + v + -1v + 2v + -1 = 13 Reorder the terms: -1 + 5v + -5v + v + -1v + 2v = 13 Combine like terms: 5v + -5v = 0 -1 + 0 + v + -1v + 2v = 13 -1 + v + -1v + 2v = 13 Combine like terms: v + -1v = 0 -1 + 0 + 2v = 13 -1 + 2v = 13 Solving -1 + 2v = 13 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2v = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 2v = 13 + 1 2v = 13 + 1 Combine like terms: 13 + 1 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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