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Simplifying -31 = 2 + 7v + 4v Combine like terms: 7v + 4v = 11v -31 = 2 + 11v Solving -31 = 2 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -31 + -11v = 2 + 11v + -11v Combine like terms: 11v + -11v = 0 -31 + -11v = 2 + 0 -31 + -11v = 2 Add '31' to each side of the equation. -31 + 31 + -11v = 2 + 31 Combine like terms: -31 + 31 = 0 0 + -11v = 2 + 31 -11v = 2 + 31 Combine like terms: 2 + 31 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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