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Simplifying 6(v + 4) = 14 + 4v Reorder the terms: 6(4 + v) = 14 + 4v (4 * 6 + v * 6) = 14 + 4v (24 + 6v) = 14 + 4v Solving 24 + 6v = 14 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 24 + 6v + -4v = 14 + 4v + -4v Combine like terms: 6v + -4v = 2v 24 + 2v = 14 + 4v + -4v Combine like terms: 4v + -4v = 0 24 + 2v = 14 + 0 24 + 2v = 14 Add '-24' to each side of the equation. 24 + -24 + 2v = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 2v = 14 + -24 2v = 14 + -24 Combine like terms: 14 + -24 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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