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Simplifying 31 + -17v = -14v + 7 Reorder the terms: 31 + -17v = 7 + -14v Solving 31 + -17v = 7 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 31 + -17v + 14v = 7 + -14v + 14v Combine like terms: -17v + 14v = -3v 31 + -3v = 7 + -14v + 14v Combine like terms: -14v + 14v = 0 31 + -3v = 7 + 0 31 + -3v = 7 Add '-31' to each side of the equation. 31 + -31 + -3v = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -3v = 7 + -31 -3v = 7 + -31 Combine like terms: 7 + -31 = -24 -3v = -24 Divide each side by '-3'. v = 8 Simplifying v = 8
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