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Simplifying 6 + 2v + -5v = -8 + -5v Combine like terms: 2v + -5v = -3v 6 + -3v = -8 + -5v Solving 6 + -3v = -8 + -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. 6 + -3v + 5v = -8 + -5v + 5v Combine like terms: -3v + 5v = 2v 6 + 2v = -8 + -5v + 5v Combine like terms: -5v + 5v = 0 6 + 2v = -8 + 0 6 + 2v = -8 Add '-6' to each side of the equation. 6 + -6 + 2v = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = -8 + -6 2v = -8 + -6 Combine like terms: -8 + -6 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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