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Simplifying 9(2 + v) + 25v = 12v (2 * 9 + v * 9) + 25v = 12v (18 + 9v) + 25v = 12v Combine like terms: 9v + 25v = 34v 18 + 34v = 12v Solving 18 + 34v = 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 18 + 34v + -12v = 12v + -12v Combine like terms: 34v + -12v = 22v 18 + 22v = 12v + -12v Combine like terms: 12v + -12v = 0 18 + 22v = 0 Add '-18' to each side of the equation. 18 + -18 + 22v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 22v = 0 + -18 22v = 0 + -18 Combine like terms: 0 + -18 = -18 22v = -18 Divide each side by '22'. v = -0.8181818182 Simplifying v = -0.8181818182
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