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Simplifying 8v + 24 = 2v + 42 Reorder the terms: 24 + 8v = 2v + 42 Reorder the terms: 24 + 8v = 42 + 2v Solving 24 + 8v = 42 + 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 + 8v + -2v = 42 + 2v + -2v Combine like terms: 8v + -2v = 6v 24 + 6v = 42 + 2v + -2v Combine like terms: 2v + -2v = 0 24 + 6v = 42 + 0 24 + 6v = 42 Add '-24' to each side of the equation. 24 + -24 + 6v = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 6v = 42 + -24 6v = 42 + -24 Combine like terms: 42 + -24 = 18 6v = 18 Divide each side by '6'. v = 3 Simplifying v = 3
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