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Simplifying 31 = 3v + -11 Reorder the terms: 31 = -11 + 3v Solving 31 = -11 + 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 + -3v = -11 + 3v + -3v Combine like terms: 3v + -3v = 0 31 + -3v = -11 + 0 31 + -3v = -11 Add '-31' to each side of the equation. 31 + -31 + -3v = -11 + -31 Combine like terms: 31 + -31 = 0 0 + -3v = -11 + -31 -3v = -11 + -31 Combine like terms: -11 + -31 = -42 -3v = -42 Divide each side by '-3'. v = 14 Simplifying v = 14
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