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Simplifying v + -6 = 14 + 2v + -6v Reorder the terms: -6 + v = 14 + 2v + -6v Combine like terms: 2v + -6v = -4v -6 + v = 14 + -4v Solving -6 + v = 14 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -6 + v + 4v = 14 + -4v + 4v Combine like terms: v + 4v = 5v -6 + 5v = 14 + -4v + 4v Combine like terms: -4v + 4v = 0 -6 + 5v = 14 + 0 -6 + 5v = 14 Add '6' to each side of the equation. -6 + 6 + 5v = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5v = 14 + 6 5v = 14 + 6 Combine like terms: 14 + 6 = 20 5v = 20 Divide each side by '5'. v = 4 Simplifying v = 4
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