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Simplifying 7v + 4v = 12 + -4v + 3v Combine like terms: 7v + 4v = 11v 11v = 12 + -4v + 3v Combine like terms: -4v + 3v = -1v 11v = 12 + -1v Solving 11v = 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. 11v + v = 12 + -1v + v Combine like terms: 11v + v = 12v 12v = 12 + -1v + v Combine like terms: -1v + v = 0 12v = 12 + 0 12v = 12 Divide each side by '12'. v = 1 Simplifying v = 1
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