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Simplifying -1v + 7v = 7 + 7v + -2v Combine like terms: -1v + 7v = 6v 6v = 7 + 7v + -2v Combine like terms: 7v + -2v = 5v 6v = 7 + 5v Solving 6v = 7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 6v + -5v = 7 + 5v + -5v Combine like terms: 6v + -5v = 1v 1v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 1v = 7 + 0 1v = 7 Divide each side by '1'. v = 7 Simplifying v = 7
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