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Simplifying 4(2 + v) + 34v = 14v (2 * 4 + v * 4) + 34v = 14v (8 + 4v) + 34v = 14v Combine like terms: 4v + 34v = 38v 8 + 38v = 14v Solving 8 + 38v = 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 + 38v + -14v = 14v + -14v Combine like terms: 38v + -14v = 24v 8 + 24v = 14v + -14v Combine like terms: 14v + -14v = 0 8 + 24v = 0 Add '-8' to each side of the equation. 8 + -8 + 24v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 24v = 0 + -8 24v = 0 + -8 Combine like terms: 0 + -8 = -8 24v = -8 Divide each side by '24'. v = -0.3333333333 Simplifying v = -0.3333333333
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