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Simplifying v + 5 = 3v + 1 Reorder the terms: 5 + v = 3v + 1 Reorder the terms: 5 + v = 1 + 3v Solving 5 + v = 1 + 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. 5 + v + -3v = 1 + 3v + -3v Combine like terms: v + -3v = -2v 5 + -2v = 1 + 3v + -3v Combine like terms: 3v + -3v = 0 5 + -2v = 1 + 0 5 + -2v = 1 Add '-5' to each side of the equation. 5 + -5 + -2v = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 1 + -5 -2v = 1 + -5 Combine like terms: 1 + -5 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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