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Simplifying 14 = 6(v + 4) + -8v Reorder the terms: 14 = 6(4 + v) + -8v 14 = (4 * 6 + v * 6) + -8v 14 = (24 + 6v) + -8v Combine like terms: 6v + -8v = -2v 14 = 24 + -2v Solving 14 = 24 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 14 + 2v = 24 + -2v + 2v Combine like terms: -2v + 2v = 0 14 + 2v = 24 + 0 14 + 2v = 24 Add '-14' to each side of the equation. 14 + -14 + 2v = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = 24 + -14 2v = 24 + -14 Combine like terms: 24 + -14 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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