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Simplifying v + 49 = 3v + 17 Reorder the terms: 49 + v = 3v + 17 Reorder the terms: 49 + v = 17 + 3v Solving 49 + v = 17 + 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. 49 + v + -3v = 17 + 3v + -3v Combine like terms: v + -3v = -2v 49 + -2v = 17 + 3v + -3v Combine like terms: 3v + -3v = 0 49 + -2v = 17 + 0 49 + -2v = 17 Add '-49' to each side of the equation. 49 + -49 + -2v = 17 + -49 Combine like terms: 49 + -49 = 0 0 + -2v = 17 + -49 -2v = 17 + -49 Combine like terms: 17 + -49 = -32 -2v = -32 Divide each side by '-2'. v = 16 Simplifying v = 16
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