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Simplifying 31 = 3v + 9 + -8v Reorder the terms: 31 = 9 + 3v + -8v Combine like terms: 3v + -8v = -5v 31 = 9 + -5v Solving 31 = 9 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 31 + 5v = 9 + -5v + 5v Combine like terms: -5v + 5v = 0 31 + 5v = 9 + 0 31 + 5v = 9 Add '-31' to each side of the equation. 31 + -31 + 5v = 9 + -31 Combine like terms: 31 + -31 = 0 0 + 5v = 9 + -31 5v = 9 + -31 Combine like terms: 9 + -31 = -22 5v = -22 Divide each side by '5'. v = -4.4 Simplifying v = -4.4
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