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Simplifying 14 = 2v + 4(v + 5) Reorder the terms: 14 = 2v + 4(5 + v) 14 = 2v + (5 * 4 + v * 4) 14 = 2v + (20 + 4v) Reorder the terms: 14 = 20 + 2v + 4v Combine like terms: 2v + 4v = 6v 14 = 20 + 6v Solving 14 = 20 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 14 + -6v = 20 + 6v + -6v Combine like terms: 6v + -6v = 0 14 + -6v = 20 + 0 14 + -6v = 20 Add '-14' to each side of the equation. 14 + -14 + -6v = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -6v = 20 + -14 -6v = 20 + -14 Combine like terms: 20 + -14 = 6 -6v = 6 Divide each side by '-6'. v = -1 Simplifying v = -1
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