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Simplifying 8 + 5v = 3v + 32 Reorder the terms: 8 + 5v = 32 + 3v Solving 8 + 5v = 32 + 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. 8 + 5v + -3v = 32 + 3v + -3v Combine like terms: 5v + -3v = 2v 8 + 2v = 32 + 3v + -3v Combine like terms: 3v + -3v = 0 8 + 2v = 32 + 0 8 + 2v = 32 Add '-8' to each side of the equation. 8 + -8 + 2v = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 2v = 32 + -8 2v = 32 + -8 Combine like terms: 32 + -8 = 24 2v = 24 Divide each side by '2'. v = 12 Simplifying v = 12
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