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Simplifying 2v + 11 = 51 + -3v Reorder the terms: 11 + 2v = 51 + -3v Solving 11 + 2v = 51 + -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. 11 + 2v + 3v = 51 + -3v + 3v Combine like terms: 2v + 3v = 5v 11 + 5v = 51 + -3v + 3v Combine like terms: -3v + 3v = 0 11 + 5v = 51 + 0 11 + 5v = 51 Add '-11' to each side of the equation. 11 + -11 + 5v = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 5v = 51 + -11 5v = 51 + -11 Combine like terms: 51 + -11 = 40 5v = 40 Divide each side by '5'. v = 8 Simplifying v = 8
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