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Simplifying 4(2 + v) + 31v = 14v (2 * 4 + v * 4) + 31v = 14v (8 + 4v) + 31v = 14v Combine like terms: 4v + 31v = 35v 8 + 35v = 14v Solving 8 + 35v = 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. 8 + 35v + -14v = 14v + -14v Combine like terms: 35v + -14v = 21v 8 + 21v = 14v + -14v Combine like terms: 14v + -14v = 0 8 + 21v = 0 Add '-8' to each side of the equation. 8 + -8 + 21v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 21v = 0 + -8 21v = 0 + -8 Combine like terms: 0 + -8 = -8 21v = -8 Divide each side by '21'. v = -0.380952381 Simplifying v = -0.380952381
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