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Simplifying 8v + -4v = 7 + -1v + 4v Combine like terms: 8v + -4v = 4v 4v = 7 + -1v + 4v Combine like terms: -1v + 4v = 3v 4v = 7 + 3v Solving 4v = 7 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 4v + -3v = 7 + 3v + -3v Combine like terms: 4v + -3v = 1v 1v = 7 + 3v + -3v Combine like terms: 3v + -3v = 0 1v = 7 + 0 1v = 7 Divide each side by '1'. v = 7 Simplifying v = 7
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