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Simplifying 7v + 3 = 5v + 7 Reorder the terms: 3 + 7v = 5v + 7 Reorder the terms: 3 + 7v = 7 + 5v Solving 3 + 7v = 7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 3 + 7v + -5v = 7 + 5v + -5v Combine like terms: 7v + -5v = 2v 3 + 2v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 3 + 2v = 7 + 0 3 + 2v = 7 Add '-3' to each side of the equation. 3 + -3 + 2v = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2v = 7 + -3 2v = 7 + -3 Combine like terms: 7 + -3 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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