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Simplifying 9(2 + v) + 31v = 13v (2 * 9 + v * 9) + 31v = 13v (18 + 9v) + 31v = 13v Combine like terms: 9v + 31v = 40v 18 + 40v = 13v Solving 18 + 40v = 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 18 + 40v + -13v = 13v + -13v Combine like terms: 40v + -13v = 27v 18 + 27v = 13v + -13v Combine like terms: 13v + -13v = 0 18 + 27v = 0 Add '-18' to each side of the equation. 18 + -18 + 27v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 27v = 0 + -18 27v = 0 + -18 Combine like terms: 0 + -18 = -18 27v = -18 Divide each side by '27'. v = -0.6666666667 Simplifying v = -0.6666666667
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