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Simplifying 15v + -40 + v + 24 = 14v Reorder the terms: -40 + 24 + 15v + v = 14v Combine like terms: -40 + 24 = -16 -16 + 15v + v = 14v Combine like terms: 15v + v = 16v -16 + 16v = 14v Solving -16 + 16v = 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -16 + 16v + -14v = 14v + -14v Combine like terms: 16v + -14v = 2v -16 + 2v = 14v + -14v Combine like terms: 14v + -14v = 0 -16 + 2v = 0 Add '16' to each side of the equation. -16 + 16 + 2v = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2v = 0 + 16 2v = 0 + 16 Combine like terms: 0 + 16 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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