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Simplifying 2v + 47 = 3v + 32 Reorder the terms: 47 + 2v = 3v + 32 Reorder the terms: 47 + 2v = 32 + 3v Solving 47 + 2v = 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. 47 + 2v + -3v = 32 + 3v + -3v Combine like terms: 2v + -3v = -1v 47 + -1v = 32 + 3v + -3v Combine like terms: 3v + -3v = 0 47 + -1v = 32 + 0 47 + -1v = 32 Add '-47' to each side of the equation. 47 + -47 + -1v = 32 + -47 Combine like terms: 47 + -47 = 0 0 + -1v = 32 + -47 -1v = 32 + -47 Combine like terms: 32 + -47 = -15 -1v = -15 Divide each side by '-1'. v = 15 Simplifying v = 15
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