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Simplifying 7(2 + v) + 34v = 14v (2 * 7 + v * 7) + 34v = 14v (14 + 7v) + 34v = 14v Combine like terms: 7v + 34v = 41v 14 + 41v = 14v Solving 14 + 41v = 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. 14 + 41v + -14v = 14v + -14v Combine like terms: 41v + -14v = 27v 14 + 27v = 14v + -14v Combine like terms: 14v + -14v = 0 14 + 27v = 0 Add '-14' to each side of the equation. 14 + -14 + 27v = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 27v = 0 + -14 27v = 0 + -14 Combine like terms: 0 + -14 = -14 27v = -14 Divide each side by '27'. v = -0.5185185185 Simplifying v = -0.5185185185
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