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Simplifying 31 = 2(v + 2) + -5v Reorder the terms: 31 = 2(2 + v) + -5v 31 = (2 * 2 + v * 2) + -5v 31 = (4 + 2v) + -5v Combine like terms: 2v + -5v = -3v 31 = 4 + -3v Solving 31 = 4 + -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 = 4 + -3v + 3v Combine like terms: -3v + 3v = 0 31 + 3v = 4 + 0 31 + 3v = 4 Add '-31' to each side of the equation. 31 + -31 + 3v = 4 + -31 Combine like terms: 31 + -31 = 0 0 + 3v = 4 + -31 3v = 4 + -31 Combine like terms: 4 + -31 = -27 3v = -27 Divide each side by '3'. v = -9 Simplifying v = -9
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