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Simplifying 5v + 7 = 3v + 19 Reorder the terms: 7 + 5v = 3v + 19 Reorder the terms: 7 + 5v = 19 + 3v Solving 7 + 5v = 19 + 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. 7 + 5v + -3v = 19 + 3v + -3v Combine like terms: 5v + -3v = 2v 7 + 2v = 19 + 3v + -3v Combine like terms: 3v + -3v = 0 7 + 2v = 19 + 0 7 + 2v = 19 Add '-7' to each side of the equation. 7 + -7 + 2v = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 19 + -7 2v = 19 + -7 Combine like terms: 19 + -7 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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