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Simplifying -2v + 14v + 3 = 8v + 27 Reorder the terms: 3 + -2v + 14v = 8v + 27 Combine like terms: -2v + 14v = 12v 3 + 12v = 8v + 27 Reorder the terms: 3 + 12v = 27 + 8v Solving 3 + 12v = 27 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 3 + 12v + -8v = 27 + 8v + -8v Combine like terms: 12v + -8v = 4v 3 + 4v = 27 + 8v + -8v Combine like terms: 8v + -8v = 0 3 + 4v = 27 + 0 3 + 4v = 27 Add '-3' to each side of the equation. 3 + -3 + 4v = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 4v = 27 + -3 4v = 27 + -3 Combine like terms: 27 + -3 = 24 4v = 24 Divide each side by '4'. v = 6 Simplifying v = 6
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