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Simplifying 8v + 2 + -1v = 5v Reorder the terms: 2 + 8v + -1v = 5v Combine like terms: 8v + -1v = 7v 2 + 7v = 5v Solving 2 + 7v = 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. 2 + 7v + -5v = 5v + -5v Combine like terms: 7v + -5v = 2v 2 + 2v = 5v + -5v Combine like terms: 5v + -5v = 0 2 + 2v = 0 Add '-2' to each side of the equation. 2 + -2 + 2v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2v = 0 + -2 2v = 0 + -2 Combine like terms: 0 + -2 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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