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Simplifying -2 + 3v + 8 = 4v + 14 Reorder the terms: -2 + 8 + 3v = 4v + 14 Combine like terms: -2 + 8 = 6 6 + 3v = 4v + 14 Reorder the terms: 6 + 3v = 14 + 4v Solving 6 + 3v = 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 + 3v + -4v = 14 + 4v + -4v Combine like terms: 3v + -4v = -1v 6 + -1v = 14 + 4v + -4v Combine like terms: 4v + -4v = 0 6 + -1v = 14 + 0 6 + -1v = 14 Add '-6' to each side of the equation. 6 + -6 + -1v = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 14 + -6 -1v = 14 + -6 Combine like terms: 14 + -6 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8
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