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Simplifying 2v + 8 = 3v + 1 Reorder the terms: 8 + 2v = 3v + 1 Reorder the terms: 8 + 2v = 1 + 3v Solving 8 + 2v = 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. 8 + 2v + -3v = 1 + 3v + -3v Combine like terms: 2v + -3v = -1v 8 + -1v = 1 + 3v + -3v Combine like terms: 3v + -3v = 0 8 + -1v = 1 + 0 8 + -1v = 1 Add '-8' to each side of the equation. 8 + -8 + -1v = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 1 + -8 -1v = 1 + -8 Combine like terms: 1 + -8 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7
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