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Simplifying 31 = 3 + -2(-2v + 2) Reorder the terms: 31 = 3 + -2(2 + -2v) 31 = 3 + (2 * -2 + -2v * -2) 31 = 3 + (-4 + 4v) Combine like terms: 3 + -4 = -1 31 = -1 + 4v Solving 31 = -1 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 31 + -4v = -1 + 4v + -4v Combine like terms: 4v + -4v = 0 31 + -4v = -1 + 0 31 + -4v = -1 Add '-31' to each side of the equation. 31 + -31 + -4v = -1 + -31 Combine like terms: 31 + -31 = 0 0 + -4v = -1 + -31 -4v = -1 + -31 Combine like terms: -1 + -31 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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