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Simplifying 2(v + 2) = 5v + 31 Reorder the terms: 2(2 + v) = 5v + 31 (2 * 2 + v * 2) = 5v + 31 (4 + 2v) = 5v + 31 Reorder the terms: 4 + 2v = 31 + 5v Solving 4 + 2v = 31 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 4 + 2v + -5v = 31 + 5v + -5v Combine like terms: 2v + -5v = -3v 4 + -3v = 31 + 5v + -5v Combine like terms: 5v + -5v = 0 4 + -3v = 31 + 0 4 + -3v = 31 Add '-4' to each side of the equation. 4 + -4 + -3v = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 31 + -4 -3v = 31 + -4 Combine like terms: 31 + -4 = 27 -3v = 27 Divide each side by '-3'. v = -9 Simplifying v = -9
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