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Simplifying 24 = 6(v + 6) + -8v Reorder the terms: 24 = 6(6 + v) + -8v 24 = (6 * 6 + v * 6) + -8v 24 = (36 + 6v) + -8v Combine like terms: 6v + -8v = -2v 24 = 36 + -2v Solving 24 = 36 + -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. 24 + 2v = 36 + -2v + 2v Combine like terms: -2v + 2v = 0 24 + 2v = 36 + 0 24 + 2v = 36 Add '-24' to each side of the equation. 24 + -24 + 2v = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 2v = 36 + -24 2v = 36 + -24 Combine like terms: 36 + -24 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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