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Simplifying 31 + -8v = 3v + -13 Reorder the terms: 31 + -8v = -13 + 3v Solving 31 + -8v = -13 + 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. 31 + -8v + -3v = -13 + 3v + -3v Combine like terms: -8v + -3v = -11v 31 + -11v = -13 + 3v + -3v Combine like terms: 3v + -3v = 0 31 + -11v = -13 + 0 31 + -11v = -13 Add '-31' to each side of the equation. 31 + -31 + -11v = -13 + -31 Combine like terms: 31 + -31 = 0 0 + -11v = -13 + -31 -11v = -13 + -31 Combine like terms: -13 + -31 = -44 -11v = -44 Divide each side by '-11'. v = 4 Simplifying v = 4
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