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Simplifying 4v + 1 = 7 + 2v Reorder the terms: 1 + 4v = 7 + 2v Solving 1 + 4v = 7 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 1 + 4v + -2v = 7 + 2v + -2v Combine like terms: 4v + -2v = 2v 1 + 2v = 7 + 2v + -2v Combine like terms: 2v + -2v = 0 1 + 2v = 7 + 0 1 + 2v = 7 Add '-1' to each side of the equation. 1 + -1 + 2v = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 7 + -1 2v = 7 + -1 Combine like terms: 7 + -1 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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