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Simplifying 9(3 + v) + 34v = 11v (3 * 9 + v * 9) + 34v = 11v (27 + 9v) + 34v = 11v Combine like terms: 9v + 34v = 43v 27 + 43v = 11v Solving 27 + 43v = 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. 27 + 43v + -11v = 11v + -11v Combine like terms: 43v + -11v = 32v 27 + 32v = 11v + -11v Combine like terms: 11v + -11v = 0 27 + 32v = 0 Add '-27' to each side of the equation. 27 + -27 + 32v = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 32v = 0 + -27 32v = 0 + -27 Combine like terms: 0 + -27 = -27 32v = -27 Divide each side by '32'. v = -0.84375 Simplifying v = -0.84375
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