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Simplifying -3v + 8 + 4v = 31 Reorder the terms: 8 + -3v + 4v = 31 Combine like terms: -3v + 4v = 1v 8 + 1v = 31 Solving 8 + 1v = 31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1v = 31 + -8 Combine like terms: 8 + -8 = 0 0 + 1v = 31 + -8 1v = 31 + -8 Combine like terms: 31 + -8 = 23 1v = 23 Divide each side by '1'. v = 23 Simplifying v = 23
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