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Simplifying 3v + 4 = 12 + -1v Reorder the terms: 4 + 3v = 12 + -1v Solving 4 + 3v = 12 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 4 + 3v + v = 12 + -1v + v Combine like terms: 3v + v = 4v 4 + 4v = 12 + -1v + v Combine like terms: -1v + v = 0 4 + 4v = 12 + 0 4 + 4v = 12 Add '-4' to each side of the equation. 4 + -4 + 4v = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4v = 12 + -4 4v = 12 + -4 Combine like terms: 12 + -4 = 8 4v = 8 Divide each side by '4'. v = 2 Simplifying v = 2
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