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Simplifying 5(4 + v) + 31v = 14v (4 * 5 + v * 5) + 31v = 14v (20 + 5v) + 31v = 14v Combine like terms: 5v + 31v = 36v 20 + 36v = 14v Solving 20 + 36v = 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. 20 + 36v + -14v = 14v + -14v Combine like terms: 36v + -14v = 22v 20 + 22v = 14v + -14v Combine like terms: 14v + -14v = 0 20 + 22v = 0 Add '-20' to each side of the equation. 20 + -20 + 22v = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 22v = 0 + -20 22v = 0 + -20 Combine like terms: 0 + -20 = -20 22v = -20 Divide each side by '22'. v = -0.9090909091 Simplifying v = -0.9090909091
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