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Simplifying 6v + 7 = 4v + 13 Reorder the terms: 7 + 6v = 4v + 13 Reorder the terms: 7 + 6v = 13 + 4v Solving 7 + 6v = 13 + 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. 7 + 6v + -4v = 13 + 4v + -4v Combine like terms: 6v + -4v = 2v 7 + 2v = 13 + 4v + -4v Combine like terms: 4v + -4v = 0 7 + 2v = 13 + 0 7 + 2v = 13 Add '-7' to each side of the equation. 7 + -7 + 2v = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 13 + -7 2v = 13 + -7 Combine like terms: 13 + -7 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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