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Simplifying -2(2 + v) = 31 + 3v (2 * -2 + v * -2) = 31 + 3v (-4 + -2v) = 31 + 3v Solving -4 + -2v = 31 + 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. -4 + -2v + -3v = 31 + 3v + -3v Combine like terms: -2v + -3v = -5v -4 + -5v = 31 + 3v + -3v Combine like terms: 3v + -3v = 0 -4 + -5v = 31 + 0 -4 + -5v = 31 Add '4' to each side of the equation. -4 + 4 + -5v = 31 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 31 + 4 -5v = 31 + 4 Combine like terms: 31 + 4 = 35 -5v = 35 Divide each side by '-5'. v = -7 Simplifying v = -7
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