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Simplifying 9(4 + v) + 36v = 14v (4 * 9 + v * 9) + 36v = 14v (36 + 9v) + 36v = 14v Combine like terms: 9v + 36v = 45v 36 + 45v = 14v Solving 36 + 45v = 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 36 + 45v + -14v = 14v + -14v Combine like terms: 45v + -14v = 31v 36 + 31v = 14v + -14v Combine like terms: 14v + -14v = 0 36 + 31v = 0 Add '-36' to each side of the equation. 36 + -36 + 31v = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 31v = 0 + -36 31v = 0 + -36 Combine like terms: 0 + -36 = -36 31v = -36 Divide each side by '31'. v = -1.161290323 Simplifying v = -1.161290323
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