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Simplifying 9(4 + v) + 31v = 11v (4 * 9 + v * 9) + 31v = 11v (36 + 9v) + 31v = 11v Combine like terms: 9v + 31v = 40v 36 + 40v = 11v Solving 36 + 40v = 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 36 + 40v + -11v = 11v + -11v Combine like terms: 40v + -11v = 29v 36 + 29v = 11v + -11v Combine like terms: 11v + -11v = 0 36 + 29v = 0 Add '-36' to each side of the equation. 36 + -36 + 29v = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 29v = 0 + -36 29v = 0 + -36 Combine like terms: 0 + -36 = -36 29v = -36 Divide each side by '29'. v = -1.24137931 Simplifying v = -1.24137931
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